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Finding the Fourth Proportional to 390,857.27, 538,645.88 and 313,244.76

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Solution

The fourth proportional to 390,857.27, 538,645.88 and 313,244.76 is: 431,686.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,857.27 : 538,645.88 = 313,244.76 : x
  2. Step 2: Convert to fraction form
    390,857.27/538,645.88 = 313,244.76/x
  3. Step 3: Cross multiply
    390,857.27x = 538,645.88 × 313,244.76
  4. Step 4: Simplify right side
    390,857.27x = 168,727,995,146.14
  5. Step 5: Solve for x
    x = 168,727,995,146.14/390,857.27
  6. Step 6: Final answer
    x = 431,686.98

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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.