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Finding the Fourth Proportional to 541,353.48, 747,085.43 and 311,892.76

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Solution

The fourth proportional to 541,353.48, 747,085.43 and 311,892.76 is: 430,422.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,353.48 : 747,085.43 = 311,892.76 : x
  2. Step 2: Convert to fraction form
    541,353.48/747,085.43 = 311,892.76/x
  3. Step 3: Cross multiply
    541,353.48x = 747,085.43 × 311,892.76
  4. Step 4: Simplify right side
    541,353.48x = 233,010,535,630.51
  5. Step 5: Solve for x
    x = 233,010,535,630.51/541,353.48
  6. Step 6: Final answer
    x = 430,422.16

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1.5x scale

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.