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Finding the Fourth Proportional to 647,294.68, 970,055.34 and 410,803.30

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Solution

The fourth proportional to 647,294.68, 970,055.34 and 410,803.30 is: 615,642.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,294.68 : 970,055.34 = 410,803.30 : x
  2. Step 2: Convert to fraction form
    647,294.68/970,055.34 = 410,803.30/x
  3. Step 3: Cross multiply
    647,294.68x = 970,055.34 × 410,803.30
  4. Step 4: Simplify right side
    647,294.68x = 398,501,934,854.62
  5. Step 5: Solve for x
    x = 398,501,934,854.62/647,294.68
  6. Step 6: Final answer
    x = 615,642.22

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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.