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Finding the Fourth Proportional to 342,145.20, 513,509.40 and 152,896.80

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Solution

The fourth proportional to 342,145.20, 513,509.40 and 152,896.80 is: 229,475.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,145.20 : 513,509.40 = 152,896.80 : x
  2. Step 2: Convert to fraction form
    342,145.20/513,509.40 = 152,896.80/x
  3. Step 3: Cross multiply
    342,145.20x = 513,509.40 × 152,896.80
  4. Step 4: Simplify right side
    342,145.20x = 78,513,944,029.92
  5. Step 5: Solve for x
    x = 78,513,944,029.92/342,145.20
  6. Step 6: Final answer
    x = 229,475.51

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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.