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Finding the Fourth Proportional to 398,378.60, 549,741.24 and 228,601.52

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Solution

The fourth proportional to 398,378.60, 549,741.24 and 228,601.52 is: 315,457.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,378.60 : 549,741.24 = 228,601.52 : x
  2. Step 2: Convert to fraction form
    398,378.60/549,741.24 = 228,601.52/x
  3. Step 3: Cross multiply
    398,378.60x = 549,741.24 × 228,601.52
  4. Step 4: Simplify right side
    398,378.60x = 125,671,683,070.69
  5. Step 5: Solve for x
    x = 125,671,683,070.69/398,378.60
  6. Step 6: Final answer
    x = 315,457.92

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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.