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Finding the Fourth Proportional to 310,541.76, 428,479.20 and 197,530.56

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Solution

The fourth proportional to 310,541.76, 428,479.20 and 197,530.56 is: 272,548.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,541.76 : 428,479.20 = 197,530.56 : x
  2. Step 2: Convert to fraction form
    310,541.76/428,479.20 = 197,530.56/x
  3. Step 3: Cross multiply
    310,541.76x = 428,479.20 × 197,530.56
  4. Step 4: Simplify right side
    310,541.76x = 84,637,736,324.35
  5. Step 5: Solve for x
    x = 84,637,736,324.35/310,541.76
  6. Step 6: Final answer
    x = 272,548.65

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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.