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Finding the Fourth Proportional to 315,364.48, 473,109 and 115,686.70

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Solution

The fourth proportional to 315,364.48, 473,109 and 115,686.70 is: 173,552.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,364.48 : 473,109 = 115,686.70 : x
  2. Step 2: Convert to fraction form
    315,364.48/473,109 = 115,686.70/x
  3. Step 3: Cross multiply
    315,364.48x = 473,109 × 115,686.70
  4. Step 4: Simplify right side
    315,364.48x = 54,732,418,950.30
  5. Step 5: Solve for x
    x = 54,732,418,950.30/315,364.48
  6. Step 6: Final answer
    x = 173,552.90

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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.