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Finding the Fourth Proportional to 286,298.40, 429,496.20 and 86,617.20

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Solution

The fourth proportional to 286,298.40, 429,496.20 and 86,617.20 is: 129,940.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,298.40 : 429,496.20 = 86,617.20 : x
  2. Step 2: Convert to fraction form
    286,298.40/429,496.20 = 86,617.20/x
  3. Step 3: Cross multiply
    286,298.40x = 429,496.20 × 86,617.20
  4. Step 4: Simplify right side
    286,298.40x = 37,201,758,254.64
  5. Step 5: Solve for x
    x = 37,201,758,254.64/286,298.40
  6. Step 6: Final answer
    x = 129,940.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.