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Finding the Fourth Proportional to 549,151.98, 824,310.23 and 486,379.61

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Solution

The fourth proportional to 549,151.98, 824,310.23 and 486,379.61 is: 730,085.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,151.98 : 824,310.23 = 486,379.61 : x
  2. Step 2: Convert to fraction form
    549,151.98/824,310.23 = 486,379.61/x
  3. Step 3: Cross multiply
    549,151.98x = 824,310.23 × 486,379.61
  4. Step 4: Simplify right side
    549,151.98x = 400,927,681,632.96
  5. Step 5: Solve for x
    x = 400,927,681,632.96/549,151.98
  6. Step 6: Final answer
    x = 730,085.11

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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.