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Finding the Fourth Proportional to 549,575.82, 758,401.05 and 307,856.83

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Solution

The fourth proportional to 549,575.82, 758,401.05 and 307,856.83 is: 424,834.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,575.82 : 758,401.05 = 307,856.83 : x
  2. Step 2: Convert to fraction form
    549,575.82/758,401.05 = 307,856.83/x
  3. Step 3: Cross multiply
    549,575.82x = 758,401.05 × 307,856.83
  4. Step 4: Simplify right side
    549,575.82x = 233,478,943,121.67
  5. Step 5: Solve for x
    x = 233,478,943,121.67/549,575.82
  6. Step 6: Final answer
    x = 424,834.82

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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.