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Finding the Fourth Proportional to 716,142, 988,300.80 and 393,876.48

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Solution

The fourth proportional to 716,142, 988,300.80 and 393,876.48 is: 543,563.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,142 : 988,300.80 = 393,876.48 : x
  2. Step 2: Convert to fraction form
    716,142/988,300.80 = 393,876.48/x
  3. Step 3: Cross multiply
    716,142x = 988,300.80 × 393,876.48
  4. Step 4: Simplify right side
    716,142x = 389,268,440,285.18
  5. Step 5: Solve for x
    x = 389,268,440,285.18/716,142
  6. Step 6: Final answer
    x = 543,563.20

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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.