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Finding the Fourth Proportional to 1,005,416.40, 1,409,449.20 and 1,005,416.40

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Solution

The fourth proportional to 1,005,416.40, 1,409,449.20 and 1,005,416.40 is: 1,409,449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,416.40 : 1,409,449.20 = 1,005,416.40 : x
  2. Step 2: Convert to fraction form
    1,005,416.40/1,409,449.20 = 1,005,416.40/x
  3. Step 3: Cross multiply
    1,005,416.40x = 1,409,449.20 × 1,005,416.40
  4. Step 4: Simplify right side
    1,005,416.40x = 1,417,083,340,646.88
  5. Step 5: Solve for x
    x = 1,417,083,340,646.88/1,005,416.40
  6. Step 6: Final answer
    x = 1,409,449.20

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.