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Finding the Fourth Proportional to 429,977.60, 644,966.40 and 391,270.40

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Solution

The fourth proportional to 429,977.60, 644,966.40 and 391,270.40 is: 586,905.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,977.60 : 644,966.40 = 391,270.40 : x
  2. Step 2: Convert to fraction form
    429,977.60/644,966.40 = 391,270.40/x
  3. Step 3: Cross multiply
    429,977.60x = 644,966.40 × 391,270.40
  4. Step 4: Simplify right side
    429,977.60x = 252,356,261,314.56
  5. Step 5: Solve for x
    x = 252,356,261,314.56/429,977.60
  6. Step 6: Final answer
    x = 586,905.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.