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Finding the Fourth Proportional to 312,849.92, 469,314.16 and 152,931.02

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Solution

The fourth proportional to 312,849.92, 469,314.16 and 152,931.02 is: 229,415.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,849.92 : 469,314.16 = 152,931.02 : x
  2. Step 2: Convert to fraction form
    312,849.92/469,314.16 = 152,931.02/x
  3. Step 3: Cross multiply
    312,849.92x = 469,314.16 × 152,931.02
  4. Step 4: Simplify right side
    312,849.92x = 71,772,693,189.24
  5. Step 5: Solve for x
    x = 71,772,693,189.24/312,849.92
  6. Step 6: Final answer
    x = 229,415.73

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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.