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Finding the Fourth Proportional to 621,654.14, 857,423.53 and 428,123.32

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Solution

The fourth proportional to 621,654.14, 857,423.53 and 428,123.32 is: 590,493.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,654.14 : 857,423.53 = 428,123.32 : x
  2. Step 2: Convert to fraction form
    621,654.14/857,423.53 = 428,123.32/x
  3. Step 3: Cross multiply
    621,654.14x = 857,423.53 × 428,123.32
  4. Step 4: Simplify right side
    621,654.14x = 367,083,009,116.13
  5. Step 5: Solve for x
    x = 367,083,009,116.13/621,654.14
  6. Step 6: Final answer
    x = 590,493.95

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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.