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Finding the Fourth Proportional to 509,064.83, 763,763.33 and 242,790.76

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Solution

The fourth proportional to 509,064.83, 763,763.33 and 242,790.76 is: 364,265.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,064.83 : 763,763.33 = 242,790.76 : x
  2. Step 2: Convert to fraction form
    509,064.83/763,763.33 = 242,790.76/x
  3. Step 3: Cross multiply
    509,064.83x = 763,763.33 × 242,790.76
  4. Step 4: Simplify right side
    509,064.83x = 185,434,676,227.47
  5. Step 5: Solve for x
    x = 185,434,676,227.47/509,064.83
  6. Step 6: Final answer
    x = 364,265.35

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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.