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Finding the Fourth Proportional to 342,005.40, 513,008.10 and 317,122.20

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Solution

The fourth proportional to 342,005.40, 513,008.10 and 317,122.20 is: 475,683.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,005.40 : 513,008.10 = 317,122.20 : x
  2. Step 2: Convert to fraction form
    342,005.40/513,008.10 = 317,122.20/x
  3. Step 3: Cross multiply
    342,005.40x = 513,008.10 × 317,122.20
  4. Step 4: Simplify right side
    342,005.40x = 162,686,257,289.82
  5. Step 5: Solve for x
    x = 162,686,257,289.82/342,005.40
  6. Step 6: Final answer
    x = 475,683.30

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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.