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Finding the Fourth Proportional to 475,142.46, 712,707.64 and 115,316.38

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Solution

The fourth proportional to 475,142.46, 712,707.64 and 115,316.38 is: 172,973.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,142.46 : 712,707.64 = 115,316.38 : x
  2. Step 2: Convert to fraction form
    475,142.46/712,707.64 = 115,316.38/x
  3. Step 3: Cross multiply
    475,142.46x = 712,707.64 × 115,316.38
  4. Step 4: Simplify right side
    475,142.46x = 82,186,865,043.14
  5. Step 5: Solve for x
    x = 82,186,865,043.14/475,142.46
  6. Step 6: Final answer
    x = 172,973.10

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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.