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Finding the Fourth Proportional to 291,901.39, 402,823.74 and 157,765.39

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Solution

The fourth proportional to 291,901.39, 402,823.74 and 157,765.39 is: 217,716.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,901.39 : 402,823.74 = 157,765.39 : x
  2. Step 2: Convert to fraction form
    291,901.39/402,823.74 = 157,765.39/x
  3. Step 3: Cross multiply
    291,901.39x = 402,823.74 × 157,765.39
  4. Step 4: Simplify right side
    291,901.39x = 63,551,644,442.36
  5. Step 5: Solve for x
    x = 63,551,644,442.36/291,901.39
  6. Step 6: Final answer
    x = 217,716.14

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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.