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Finding the Fourth Proportional to 509,070.65, 763,772.07 and 242,796.56

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Solution

The fourth proportional to 509,070.65, 763,772.07 and 242,796.56 is: 364,274.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,070.65 : 763,772.07 = 242,796.56 : x
  2. Step 2: Convert to fraction form
    509,070.65/763,772.07 = 242,796.56/x
  3. Step 3: Cross multiply
    509,070.65x = 763,772.07 × 242,796.56
  4. Step 4: Simplify right side
    509,070.65x = 185,441,227,401.22
  5. Step 5: Solve for x
    x = 185,441,227,401.22/509,070.65
  6. Step 6: Final answer
    x = 364,274.05

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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.