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Finding the Fourth Proportional to 315,465.30, 473,327.55 and 115,881.30

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Solution

The fourth proportional to 315,465.30, 473,327.55 and 115,881.30 is: 173,869.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,465.30 : 473,327.55 = 115,881.30 : x
  2. Step 2: Convert to fraction form
    315,465.30/473,327.55 = 115,881.30/x
  3. Step 3: Cross multiply
    315,465.30x = 473,327.55 × 115,881.30
  4. Step 4: Simplify right side
    315,465.30x = 54,849,811,819.82
  5. Step 5: Solve for x
    x = 54,849,811,819.82/315,465.30
  6. Step 6: Final answer
    x = 173,869.56

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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.