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Finding the Fourth Proportional to 282,005.60, 423,008.40 and 240,015.20

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Solution

The fourth proportional to 282,005.60, 423,008.40 and 240,015.20 is: 360,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,005.60 : 423,008.40 = 240,015.20 : x
  2. Step 2: Convert to fraction form
    282,005.60/423,008.40 = 240,015.20/x
  3. Step 3: Cross multiply
    282,005.60x = 423,008.40 × 240,015.20
  4. Step 4: Simplify right side
    282,005.60x = 101,528,445,727.68
  5. Step 5: Solve for x
    x = 101,528,445,727.68/282,005.60
  6. Step 6: Final answer
    x = 360,022.80

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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.