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Finding the Fourth Proportional to 315,706.60, 435,669.62 and 172,462.96

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Solution

The fourth proportional to 315,706.60, 435,669.62 and 172,462.96 is: 237,995.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,706.60 : 435,669.62 = 172,462.96 : x
  2. Step 2: Convert to fraction form
    315,706.60/435,669.62 = 172,462.96/x
  3. Step 3: Cross multiply
    315,706.60x = 435,669.62 × 172,462.96
  4. Step 4: Simplify right side
    315,706.60x = 75,136,871,384.96
  5. Step 5: Solve for x
    x = 75,136,871,384.96/315,706.60
  6. Step 6: Final answer
    x = 237,995.88

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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.