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Finding the Fourth Proportional to 530,395.52, 731,963.82 and 288,686.86

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Solution

The fourth proportional to 530,395.52, 731,963.82 and 288,686.86 is: 398,397.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,395.52 : 731,963.82 = 288,686.86 : x
  2. Step 2: Convert to fraction form
    530,395.52/731,963.82 = 288,686.86/x
  3. Step 3: Cross multiply
    530,395.52x = 731,963.82 × 288,686.86
  4. Step 4: Simplify right side
    530,395.52x = 211,308,336,829.41
  5. Step 5: Solve for x
    x = 211,308,336,829.41/530,395.52
  6. Step 6: Final answer
    x = 398,397.67

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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.