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Finding the Fourth Proportional to 291,890.52, 402,808.68 and 157,754.52

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Solution

The fourth proportional to 291,890.52, 402,808.68 and 157,754.52 is: 217,701.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,890.52 : 402,808.68 = 157,754.52 : x
  2. Step 2: Convert to fraction form
    291,890.52/402,808.68 = 157,754.52/x
  3. Step 3: Cross multiply
    291,890.52x = 402,808.68 × 157,754.52
  4. Step 4: Simplify right side
    291,890.52x = 63,544,889,965.23
  5. Step 5: Solve for x
    x = 63,544,889,965.23/291,890.52
  6. Step 6: Final answer
    x = 217,701.11

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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.