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Finding the Fourth Proportional to 315,476.47, 435,355.30 and 172,236.50

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Solution

The fourth proportional to 315,476.47, 435,355.30 and 172,236.50 is: 237,685.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,476.47 : 435,355.30 = 172,236.50 : x
  2. Step 2: Convert to fraction form
    315,476.47/435,355.30 = 172,236.50/x
  3. Step 3: Cross multiply
    315,476.47x = 435,355.30 × 172,236.50
  4. Step 4: Simplify right side
    315,476.47x = 74,984,073,128.45
  5. Step 5: Solve for x
    x = 74,984,073,128.45/315,476.47
  6. Step 6: Final answer
    x = 237,685.15

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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.