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Finding the Fourth Proportional to 522,746.40, 721,280 and 341,723.52

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Solution

The fourth proportional to 522,746.40, 721,280 and 341,723.52 is: 471,506.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,746.40 : 721,280 = 341,723.52 : x
  2. Step 2: Convert to fraction form
    522,746.40/721,280 = 341,723.52/x
  3. Step 3: Cross multiply
    522,746.40x = 721,280 × 341,723.52
  4. Step 4: Simplify right side
    522,746.40x = 246,478,340,505.60
  5. Step 5: Solve for x
    x = 246,478,340,505.60/522,746.40
  6. Step 6: Final answer
    x = 471,506.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.