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Finding the Fourth Proportional to 407,130.60, 610,695.90 and 341,812.20

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Solution

The fourth proportional to 407,130.60, 610,695.90 and 341,812.20 is: 512,718.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,130.60 : 610,695.90 = 341,812.20 : x
  2. Step 2: Convert to fraction form
    407,130.60/610,695.90 = 341,812.20/x
  3. Step 3: Cross multiply
    407,130.60x = 610,695.90 × 341,812.20
  4. Step 4: Simplify right side
    407,130.60x = 208,743,309,109.98
  5. Step 5: Solve for x
    x = 208,743,309,109.98/407,130.60
  6. Step 6: Final answer
    x = 512,718.30

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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.