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Finding the Fourth Proportional to 312,598.60, 431,386.49 and 169,358.64

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Solution

The fourth proportional to 312,598.60, 431,386.49 and 169,358.64 is: 233,715.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,598.60 : 431,386.49 = 169,358.64 : x
  2. Step 2: Convert to fraction form
    312,598.60/431,386.49 = 169,358.64/x
  3. Step 3: Cross multiply
    312,598.60x = 431,386.49 × 169,358.64
  4. Step 4: Simplify right side
    312,598.60x = 73,059,031,301.87
  5. Step 5: Solve for x
    x = 73,059,031,301.87/312,598.60
  6. Step 6: Final answer
    x = 233,715.16

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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.