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Finding the Fourth Proportional to 312,089.80, 468,134.70 and 307,424.20

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Solution

The fourth proportional to 312,089.80, 468,134.70 and 307,424.20 is: 461,136.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,089.80 : 468,134.70 = 307,424.20 : x
  2. Step 2: Convert to fraction form
    312,089.80/468,134.70 = 307,424.20/x
  3. Step 3: Cross multiply
    312,089.80x = 468,134.70 × 307,424.20
  4. Step 4: Simplify right side
    312,089.80x = 143,915,935,639.74
  5. Step 5: Solve for x
    x = 143,915,935,639.74/312,089.80
  6. Step 6: Final answer
    x = 461,136.30

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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.