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Finding the Fourth Proportional to 614,720.40, 922,663.80 and 378,524.40

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Solution

The fourth proportional to 614,720.40, 922,663.80 and 378,524.40 is: 568,145.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,720.40 : 922,663.80 = 378,524.40 : x
  2. Step 2: Convert to fraction form
    614,720.40/922,663.80 = 378,524.40/x
  3. Step 3: Cross multiply
    614,720.40x = 922,663.80 × 378,524.40
  4. Step 4: Simplify right side
    614,720.40x = 349,250,761,296.72
  5. Step 5: Solve for x
    x = 349,250,761,296.72/614,720.40
  6. Step 6: Final answer
    x = 568,145.72

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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.