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Finding the Fourth Proportional to 407,924.64, 611,794.56 and 155,115

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Solution

The fourth proportional to 407,924.64, 611,794.56 and 155,115 is: 232,637.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,924.64 : 611,794.56 = 155,115 : x
  2. Step 2: Convert to fraction form
    407,924.64/611,794.56 = 155,115/x
  3. Step 3: Cross multiply
    407,924.64x = 611,794.56 × 155,115
  4. Step 4: Simplify right side
    407,924.64x = 94,898,513,174.40
  5. Step 5: Solve for x
    x = 94,898,513,174.40/407,924.64
  6. Step 6: Final answer
    x = 232,637.36

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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.