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Finding the Fourth Proportional to 342,447.95, 472,710.63 and 306,575.69

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Solution

The fourth proportional to 342,447.95, 472,710.63 and 306,575.69 is: 423,193.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,447.95 : 472,710.63 = 306,575.69 : x
  2. Step 2: Convert to fraction form
    342,447.95/472,710.63 = 306,575.69/x
  3. Step 3: Cross multiply
    342,447.95x = 472,710.63 × 306,575.69
  4. Step 4: Simplify right side
    342,447.95x = 144,921,586,348.69
  5. Step 5: Solve for x
    x = 144,921,586,348.69/342,447.95
  6. Step 6: Final answer
    x = 423,193.03

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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.