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Finding the Fourth Proportional to 400,042.88, 552,088.14 and 238,904.72

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Solution

The fourth proportional to 400,042.88, 552,088.14 and 238,904.72 is: 329,705.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,042.88 : 552,088.14 = 238,904.72 : x
  2. Step 2: Convert to fraction form
    400,042.88/552,088.14 = 238,904.72/x
  3. Step 3: Cross multiply
    400,042.88x = 552,088.14 × 238,904.72
  4. Step 4: Simplify right side
    400,042.88x = 131,896,462,502.02
  5. Step 5: Solve for x
    x = 131,896,462,502.02/400,042.88
  6. Step 6: Final answer
    x = 329,705.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.