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Finding the Fourth Proportional to 386,368, 533,189.76 and 225,334.72

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Solution

The fourth proportional to 386,368, 533,189.76 and 225,334.72 is: 310,963.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,368 : 533,189.76 = 225,334.72 : x
  2. Step 2: Convert to fraction form
    386,368/533,189.76 = 225,334.72/x
  3. Step 3: Cross multiply
    386,368x = 533,189.76 × 225,334.72
  4. Step 4: Simplify right side
    386,368x = 120,146,165,276.47
  5. Step 5: Solve for x
    x = 120,146,165,276.47/386,368
  6. Step 6: Final answer
    x = 310,963.03

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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.