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Finding the Fourth Proportional to 342,455.75, 513,687.09 and 152,925.76

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Solution

The fourth proportional to 342,455.75, 513,687.09 and 152,925.76 is: 229,390.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,455.75 : 513,687.09 = 152,925.76 : x
  2. Step 2: Convert to fraction form
    342,455.75/513,687.09 = 152,925.76/x
  3. Step 3: Cross multiply
    342,455.75x = 513,687.09 × 152,925.76
  4. Step 4: Simplify right side
    342,455.75x = 78,555,989,032.35
  5. Step 5: Solve for x
    x = 78,555,989,032.35/342,455.75
  6. Step 6: Final answer
    x = 229,390.19

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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.