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Finding the Fourth Proportional to 291,862.42, 402,780.15 and 169,345.54

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Solution

The fourth proportional to 291,862.42, 402,780.15 and 169,345.54 is: 233,702.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,862.42 : 402,780.15 = 169,345.54 : x
  2. Step 2: Convert to fraction form
    291,862.42/402,780.15 = 169,345.54/x
  3. Step 3: Cross multiply
    291,862.42x = 402,780.15 × 169,345.54
  4. Step 4: Simplify right side
    291,862.42x = 68,209,019,142.40
  5. Step 5: Solve for x
    x = 68,209,019,142.40/291,862.42
  6. Step 6: Final answer
    x = 233,702.65

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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.