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Finding the Fourth Proportional to 342,842.12, 513,790.24 and 258,509.60

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Solution

The fourth proportional to 342,842.12, 513,790.24 and 258,509.60 is: 387,407.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,842.12 : 513,790.24 = 258,509.60 : x
  2. Step 2: Convert to fraction form
    342,842.12/513,790.24 = 258,509.60/x
  3. Step 3: Cross multiply
    342,842.12x = 513,790.24 × 258,509.60
  4. Step 4: Simplify right side
    342,842.12x = 132,819,710,067.53
  5. Step 5: Solve for x
    x = 132,819,710,067.53/342,842.12
  6. Step 6: Final answer
    x = 387,407.80

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1.5x scale

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.