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Finding the Fourth Proportional to 541,403.70, 810,355.95 and 422,430.90

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Solution

The fourth proportional to 541,403.70, 810,355.95 and 422,430.90 is: 632,281.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,403.70 : 810,355.95 = 422,430.90 : x
  2. Step 2: Convert to fraction form
    541,403.70/810,355.95 = 422,430.90/x
  3. Step 3: Cross multiply
    541,403.70x = 810,355.95 × 422,430.90
  4. Step 4: Simplify right side
    541,403.70x = 342,319,393,278.86
  5. Step 5: Solve for x
    x = 342,319,393,278.86/541,403.70
  6. Step 6: Final answer
    x = 632,281.22

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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.