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Finding the Fourth Proportional to 468,398.14, 646,402 and 284,574.14

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Solution

The fourth proportional to 468,398.14, 646,402 and 284,574.14 is: 392,719.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,398.14 : 646,402 = 284,574.14 : x
  2. Step 2: Convert to fraction form
    468,398.14/646,402 = 284,574.14/x
  3. Step 3: Cross multiply
    468,398.14x = 646,402 × 284,574.14
  4. Step 4: Simplify right side
    468,398.14x = 183,949,293,244.28
  5. Step 5: Solve for x
    x = 183,949,293,244.28/468,398.14
  6. Step 6: Final answer
    x = 392,719.95

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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.