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Finding the Fourth Proportional to 510,429.08, 765,754.32 and 155,433.80

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Solution

The fourth proportional to 510,429.08, 765,754.32 and 155,433.80 is: 233,184.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,429.08 : 765,754.32 = 155,433.80 : x
  2. Step 2: Convert to fraction form
    510,429.08/765,754.32 = 155,433.80/x
  3. Step 3: Cross multiply
    510,429.08x = 765,754.32 × 155,433.80
  4. Step 4: Simplify right side
    510,429.08x = 119,024,103,824.02
  5. Step 5: Solve for x
    x = 119,024,103,824.02/510,429.08
  6. Step 6: Final answer
    x = 233,184.41

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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.