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Finding the Fourth Proportional to 400,718.32, 601,018.62 and 151,342

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Solution

The fourth proportional to 400,718.32, 601,018.62 and 151,342 is: 226,990.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,718.32 : 601,018.62 = 151,342 : x
  2. Step 2: Convert to fraction form
    400,718.32/601,018.62 = 151,342/x
  3. Step 3: Cross multiply
    400,718.32x = 601,018.62 × 151,342
  4. Step 4: Simplify right side
    400,718.32x = 90,959,359,988.04
  5. Step 5: Solve for x
    x = 90,959,359,988.04/400,718.32
  6. Step 6: Final answer
    x = 226,990.77

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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.