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Finding the Fourth Proportional to 468,398.64, 646,402.69 and 284,574.64

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Solution

The fourth proportional to 468,398.64, 646,402.69 and 284,574.64 is: 392,720.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,398.64 : 646,402.69 = 284,574.64 : x
  2. Step 2: Convert to fraction form
    468,398.64/646,402.69 = 284,574.64/x
  3. Step 3: Cross multiply
    468,398.64x = 646,402.69 × 284,574.64
  4. Step 4: Simplify right side
    468,398.64x = 183,949,812,801.78
  5. Step 5: Solve for x
    x = 183,949,812,801.78/468,398.64
  6. Step 6: Final answer
    x = 392,720.64

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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.