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Finding the Fourth Proportional to 385,731.76, 577,600.80 and 266,157.40

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Solution

The fourth proportional to 385,731.76, 577,600.80 and 266,157.40 is: 398,548.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,731.76 : 577,600.80 = 266,157.40 : x
  2. Step 2: Convert to fraction form
    385,731.76/577,600.80 = 266,157.40/x
  3. Step 3: Cross multiply
    385,731.76x = 577,600.80 × 266,157.40
  4. Step 4: Simplify right side
    385,731.76x = 153,732,727,165.92
  5. Step 5: Solve for x
    x = 153,732,727,165.92/385,731.76
  6. Step 6: Final answer
    x = 398,548.27

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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.