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Finding the Fourth Proportional to 312,711.84, 469,140.66 and 102,337.02

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Solution

The fourth proportional to 312,711.84, 469,140.66 and 102,337.02 is: 153,529.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,711.84 : 469,140.66 = 102,337.02 : x
  2. Step 2: Convert to fraction form
    312,711.84/469,140.66 = 102,337.02/x
  3. Step 3: Cross multiply
    312,711.84x = 469,140.66 × 102,337.02
  4. Step 4: Simplify right side
    312,711.84x = 48,010,457,105.23
  5. Step 5: Solve for x
    x = 48,010,457,105.23/312,711.84
  6. Step 6: Final answer
    x = 153,529.39

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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.