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Finding the Fourth Proportional to 484,065.80, 726,098.70 and 307,356.20

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Solution

The fourth proportional to 484,065.80, 726,098.70 and 307,356.20 is: 461,034.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,065.80 : 726,098.70 = 307,356.20 : x
  2. Step 2: Convert to fraction form
    484,065.80/726,098.70 = 307,356.20/x
  3. Step 3: Cross multiply
    484,065.80x = 726,098.70 × 307,356.20
  4. Step 4: Simplify right side
    484,065.80x = 223,170,937,256.94
  5. Step 5: Solve for x
    x = 223,170,937,256.94/484,065.80
  6. Step 6: Final answer
    x = 461,034.30

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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.