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Finding the Fourth Proportional to 802,429.28, 1,107,311.28 and 462,877.28

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Solution

The fourth proportional to 802,429.28, 1,107,311.28 and 462,877.28 is: 638,746.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,429.28 : 1,107,311.28 = 462,877.28 : x
  2. Step 2: Convert to fraction form
    802,429.28/1,107,311.28 = 462,877.28/x
  3. Step 3: Cross multiply
    802,429.28x = 1,107,311.28 × 462,877.28
  4. Step 4: Simplify right side
    802,429.28x = 512,549,233,399.72
  5. Step 5: Solve for x
    x = 512,549,233,399.72/802,429.28
  6. Step 6: Final answer
    x = 638,746.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.