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Finding the Fourth Proportional to 315,475.47, 435,353.92 and 172,235.50

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Solution

The fourth proportional to 315,475.47, 435,353.92 and 172,235.50 is: 237,683.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,475.47 : 435,353.92 = 172,235.50 : x
  2. Step 2: Convert to fraction form
    315,475.47/435,353.92 = 172,235.50/x
  3. Step 3: Cross multiply
    315,475.47x = 435,353.92 × 172,235.50
  4. Step 4: Simplify right side
    315,475.47x = 74,983,398,569.19
  5. Step 5: Solve for x
    x = 74,983,398,569.19/315,475.47
  6. Step 6: Final answer
    x = 237,683.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.