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Finding the Fourth Proportional to 560,398.32, 840,090.96 and 380,543.76

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Solution

The fourth proportional to 560,398.32, 840,090.96 and 380,543.76 is: 570,471.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,398.32 : 840,090.96 = 380,543.76 : x
  2. Step 2: Convert to fraction form
    560,398.32/840,090.96 = 380,543.76/x
  3. Step 3: Cross multiply
    560,398.32x = 840,090.96 × 380,543.76
  4. Step 4: Simplify right side
    560,398.32x = 319,691,372,660.41
  5. Step 5: Solve for x
    x = 319,691,372,660.41/560,398.32
  6. Step 6: Final answer
    x = 570,471.68

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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.