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Finding the Fourth Proportional to 468,256.04, 646,123.82 and 284,398.94

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Solution

The fourth proportional to 468,256.04, 646,123.82 and 284,398.94 is: 392,428.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,256.04 : 646,123.82 = 284,398.94 : x
  2. Step 2: Convert to fraction form
    468,256.04/646,123.82 = 284,398.94/x
  3. Step 3: Cross multiply
    468,256.04x = 646,123.82 × 284,398.94
  4. Step 4: Simplify right side
    468,256.04x = 183,756,926,286.13
  5. Step 5: Solve for x
    x = 183,756,926,286.13/468,256.04
  6. Step 6: Final answer
    x = 392,428.31

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1.5x scale

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.