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Finding the Fourth Proportional to 398,572.64, 549,918.96 and 228,744.80

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Solution

The fourth proportional to 398,572.64, 549,918.96 and 228,744.80 is: 315,603.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,572.64 : 549,918.96 = 228,744.80 : x
  2. Step 2: Convert to fraction form
    398,572.64/549,918.96 = 228,744.80/x
  3. Step 3: Cross multiply
    398,572.64x = 549,918.96 × 228,744.80
  4. Step 4: Simplify right side
    398,572.64x = 125,791,102,521.41
  5. Step 5: Solve for x
    x = 125,791,102,521.41/398,572.64
  6. Step 6: Final answer
    x = 315,603.96

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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.