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Finding the Fourth Proportional to 430,607.80, 644,331.93 and 359,354.53

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Solution

The fourth proportional to 430,607.80, 644,331.93 and 359,354.53 is: 537,713.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,607.80 : 644,331.93 = 359,354.53 : x
  2. Step 2: Convert to fraction form
    430,607.80/644,331.93 = 359,354.53/x
  3. Step 3: Cross multiply
    430,607.80x = 644,331.93 × 359,354.53
  4. Step 4: Simplify right side
    430,607.80x = 231,543,597,869.14
  5. Step 5: Solve for x
    x = 231,543,597,869.14/430,607.80
  6. Step 6: Final answer
    x = 537,713.43

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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.