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Finding the Fourth Proportional to 315,658.96, 435,602.20 and 172,419.64

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Solution

The fourth proportional to 315,658.96, 435,602.20 and 172,419.64 is: 237,935.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,658.96 : 435,602.20 = 172,419.64 : x
  2. Step 2: Convert to fraction form
    315,658.96/435,602.20 = 172,419.64/x
  3. Step 3: Cross multiply
    315,658.96x = 435,602.20 × 172,419.64
  4. Step 4: Simplify right side
    315,658.96x = 75,106,371,898.15
  5. Step 5: Solve for x
    x = 75,106,371,898.15/315,658.96
  6. Step 6: Final answer
    x = 237,935.19

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1.5x scale

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.