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Finding the Fourth Proportional to 312,289.64, 468,901.02 and 307,624.04

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Solution

The fourth proportional to 312,289.64, 468,901.02 and 307,624.04 is: 461,895.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,289.64 : 468,901.02 = 307,624.04 : x
  2. Step 2: Convert to fraction form
    312,289.64/468,901.02 = 307,624.04/x
  3. Step 3: Cross multiply
    312,289.64x = 468,901.02 × 307,624.04
  4. Step 4: Simplify right side
    312,289.64x = 144,245,226,132.52
  5. Step 5: Solve for x
    x = 144,245,226,132.52/312,289.64
  6. Step 6: Final answer
    x = 461,895.65

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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.