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Finding the Fourth Proportional to 510,478.43, 765,827.04 and 155,521.04

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Solution

The fourth proportional to 510,478.43, 765,827.04 and 155,521.04 is: 233,314.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,478.43 : 765,827.04 = 155,521.04 : x
  2. Step 2: Convert to fraction form
    510,478.43/765,827.04 = 155,521.04/x
  3. Step 3: Cross multiply
    510,478.43x = 765,827.04 × 155,521.04
  4. Step 4: Simplify right side
    510,478.43x = 119,102,217,720.92
  5. Step 5: Solve for x
    x = 119,102,217,720.92/510,478.43
  6. Step 6: Final answer
    x = 233,314.89

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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.