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Finding the Fourth Proportional to 291,764, 402,634.34 and 157,628

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Solution

The fourth proportional to 291,764, 402,634.34 and 157,628 is: 217,526.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,764 : 402,634.34 = 157,628 : x
  2. Step 2: Convert to fraction form
    291,764/402,634.34 = 157,628/x
  3. Step 3: Cross multiply
    291,764x = 402,634.34 × 157,628
  4. Step 4: Simplify right side
    291,764x = 63,466,445,745.52
  5. Step 5: Solve for x
    x = 63,466,445,745.52/291,764
  6. Step 6: Final answer
    x = 217,526.65

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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.