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Finding the Fourth Proportional to 509,985.52, 765,065.76 and 155,034.88

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Solution

The fourth proportional to 509,985.52, 765,065.76 and 155,034.88 is: 232,578.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,985.52 : 765,065.76 = 155,034.88 : x
  2. Step 2: Convert to fraction form
    509,985.52/765,065.76 = 155,034.88/x
  3. Step 3: Cross multiply
    509,985.52x = 765,065.76 × 155,034.88
  4. Step 4: Simplify right side
    509,985.52x = 118,611,878,293.71
  5. Step 5: Solve for x
    x = 118,611,878,293.71/509,985.52
  6. Step 6: Final answer
    x = 232,578.91

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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.