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Finding the Fourth Proportional to 353,531.76, 487,868.76 and 194,555.76

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Solution

The fourth proportional to 353,531.76, 487,868.76 and 194,555.76 is: 268,484.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,531.76 : 487,868.76 = 194,555.76 : x
  2. Step 2: Convert to fraction form
    353,531.76/487,868.76 = 194,555.76/x
  3. Step 3: Cross multiply
    353,531.76x = 487,868.76 × 194,555.76
  4. Step 4: Simplify right side
    353,531.76x = 94,917,677,382.06
  5. Step 5: Solve for x
    x = 94,917,677,382.06/353,531.76
  6. Step 6: Final answer
    x = 268,484.16

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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.