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Finding the Fourth Proportional to 315,089.70, 472,705.05 and 115,406.10

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Solution

The fourth proportional to 315,089.70, 472,705.05 and 115,406.10 is: 173,134.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,089.70 : 472,705.05 = 115,406.10 : x
  2. Step 2: Convert to fraction form
    315,089.70/472,705.05 = 115,406.10/x
  3. Step 3: Cross multiply
    315,089.70x = 472,705.05 × 115,406.10
  4. Step 4: Simplify right side
    315,089.70x = 54,553,046,270.81
  5. Step 5: Solve for x
    x = 54,553,046,270.81/315,089.70
  6. Step 6: Final answer
    x = 173,134.97

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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.