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Finding the Fourth Proportional to 342,947, 514,470.62 and 165,307.93

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Solution

The fourth proportional to 342,947, 514,470.62 and 165,307.93 is: 247,986.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,947 : 514,470.62 = 165,307.93 : x
  2. Step 2: Convert to fraction form
    342,947/514,470.62 = 165,307.93/x
  3. Step 3: Cross multiply
    342,947x = 514,470.62 × 165,307.93
  4. Step 4: Simplify right side
    342,947x = 85,046,073,238.02
  5. Step 5: Solve for x
    x = 85,046,073,238.02/342,947
  6. Step 6: Final answer
    x = 247,986.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.