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Finding the Fourth Proportional to 390,104.64, 538,045.74 and 269,447.85

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Solution

The fourth proportional to 390,104.64, 538,045.74 and 269,447.85 is: 371,631.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,104.64 : 538,045.74 = 269,447.85 : x
  2. Step 2: Convert to fraction form
    390,104.64/538,045.74 = 269,447.85/x
  3. Step 3: Cross multiply
    390,104.64x = 538,045.74 × 269,447.85
  4. Step 4: Simplify right side
    390,104.64x = 144,975,267,844.66
  5. Step 5: Solve for x
    x = 144,975,267,844.66/390,104.64
  6. Step 6: Final answer
    x = 371,631.74

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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.