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Finding the Fourth Proportional to 384,712.81, 577,041.87 and 118,445.56

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Solution

The fourth proportional to 384,712.81, 577,041.87 and 118,445.56 is: 177,659.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,712.81 : 577,041.87 = 118,445.56 : x
  2. Step 2: Convert to fraction form
    384,712.81/577,041.87 = 118,445.56/x
  3. Step 3: Cross multiply
    384,712.81x = 577,041.87 × 118,445.56
  4. Step 4: Simplify right side
    384,712.81x = 68,348,046,437.16
  5. Step 5: Solve for x
    x = 68,348,046,437.16/384,712.81
  6. Step 6: Final answer
    x = 177,659.92

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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.