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Finding the Fourth Proportional to 398,037.86, 549,292.28 and 216,749.74

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Solution

The fourth proportional to 398,037.86, 549,292.28 and 216,749.74 is: 299,114.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,037.86 : 549,292.28 = 216,749.74 : x
  2. Step 2: Convert to fraction form
    398,037.86/549,292.28 = 216,749.74/x
  3. Step 3: Cross multiply
    398,037.86x = 549,292.28 × 216,749.74
  4. Step 4: Simplify right side
    398,037.86x = 119,058,958,874.01
  5. Step 5: Solve for x
    x = 119,058,958,874.01/398,037.86
  6. Step 6: Final answer
    x = 299,114.66

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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.