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Finding the Fourth Proportional to 398,176.65, 549,558.95 and 228,521.61

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Solution

The fourth proportional to 398,176.65, 549,558.95 and 228,521.61 is: 315,402.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,176.65 : 549,558.95 = 228,521.61 : x
  2. Step 2: Convert to fraction form
    398,176.65/549,558.95 = 228,521.61/x
  3. Step 3: Cross multiply
    398,176.65x = 549,558.95 × 228,521.61
  4. Step 4: Simplify right side
    398,176.65x = 125,586,094,901.30
  5. Step 5: Solve for x
    x = 125,586,094,901.30/398,176.65
  6. Step 6: Final answer
    x = 315,402.96

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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.