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Finding the Fourth Proportional to 530,265.83, 731,639.25 and 312,483.41

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Solution

The fourth proportional to 530,265.83, 731,639.25 and 312,483.41 is: 431,151.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,265.83 : 731,639.25 = 312,483.41 : x
  2. Step 2: Convert to fraction form
    530,265.83/731,639.25 = 312,483.41/x
  3. Step 3: Cross multiply
    530,265.83x = 731,639.25 × 312,483.41
  4. Step 4: Simplify right side
    530,265.83x = 228,625,124,071.65
  5. Step 5: Solve for x
    x = 228,625,124,071.65/530,265.83
  6. Step 6: Final answer
    x = 431,151.91

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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.