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Finding the Fourth Proportional to 510,478.57, 765,689.91 and 155,462.86

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Solution

The fourth proportional to 510,478.57, 765,689.91 and 155,462.86 is: 233,185.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,478.57 : 765,689.91 = 155,462.86 : x
  2. Step 2: Convert to fraction form
    510,478.57/765,689.91 = 155,462.86/x
  3. Step 3: Cross multiply
    510,478.57x = 765,689.91 × 155,462.86
  4. Step 4: Simplify right side
    510,478.57x = 119,036,343,281.74
  5. Step 5: Solve for x
    x = 119,036,343,281.74/510,478.57
  6. Step 6: Final answer
    x = 233,185.78

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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.