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Finding the Fourth Proportional to 389,578.60, 537,465.72 and 226,207.20

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Solution

The fourth proportional to 389,578.60, 537,465.72 and 226,207.20 is: 312,077.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,578.60 : 537,465.72 = 226,207.20 : x
  2. Step 2: Convert to fraction form
    389,578.60/537,465.72 = 226,207.20/x
  3. Step 3: Cross multiply
    389,578.60x = 537,465.72 × 226,207.20
  4. Step 4: Simplify right side
    389,578.60x = 121,578,615,617.18
  5. Step 5: Solve for x
    x = 121,578,615,617.18/389,578.60
  6. Step 6: Final answer
    x = 312,077.24

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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.