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Finding the Fourth Proportional to 407,937.64, 611,814.06 and 155,128

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Solution

The fourth proportional to 407,937.64, 611,814.06 and 155,128 is: 232,656.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,937.64 : 611,814.06 = 155,128 : x
  2. Step 2: Convert to fraction form
    407,937.64/611,814.06 = 155,128/x
  3. Step 3: Cross multiply
    407,937.64x = 611,814.06 × 155,128
  4. Step 4: Simplify right side
    407,937.64x = 94,909,491,499.68
  5. Step 5: Solve for x
    x = 94,909,491,499.68/407,937.64
  6. Step 6: Final answer
    x = 232,656.86

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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.