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Finding the Fourth Proportional to 530,156.34, 731,617.52 and 288,438.98

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Solution

The fourth proportional to 530,156.34, 731,617.52 and 288,438.98 is: 398,046.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,156.34 : 731,617.52 = 288,438.98 : x
  2. Step 2: Convert to fraction form
    530,156.34/731,617.52 = 288,438.98/x
  3. Step 3: Cross multiply
    530,156.34x = 731,617.52 × 288,438.98
  4. Step 4: Simplify right side
    530,156.34x = 211,027,006,118.65
  5. Step 5: Solve for x
    x = 211,027,006,118.65/530,156.34
  6. Step 6: Final answer
    x = 398,046.75

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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.