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Finding the Fourth Proportional to 390,451.68, 538,421.04 and 334,049.76

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Solution

The fourth proportional to 390,451.68, 538,421.04 and 334,049.76 is: 460,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,451.68 : 538,421.04 = 334,049.76 : x
  2. Step 2: Convert to fraction form
    390,451.68/538,421.04 = 334,049.76/x
  3. Step 3: Cross multiply
    390,451.68x = 538,421.04 × 334,049.76
  4. Step 4: Simplify right side
    390,451.68x = 179,859,419,190.95
  5. Step 5: Solve for x
    x = 179,859,419,190.95/390,451.68
  6. Step 6: Final answer
    x = 460,644.50

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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.