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Finding the Fourth Proportional to 545,460, 752,803.92 and 307,042.08

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Solution

The fourth proportional to 545,460, 752,803.92 and 307,042.08 is: 423,756.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,460 : 752,803.92 = 307,042.08 : x
  2. Step 2: Convert to fraction form
    545,460/752,803.92 = 307,042.08/x
  3. Step 3: Cross multiply
    545,460x = 752,803.92 × 307,042.08
  4. Step 4: Simplify right side
    545,460x = 231,142,481,428.95
  5. Step 5: Solve for x
    x = 231,142,481,428.95/545,460
  6. Step 6: Final answer
    x = 423,756.98

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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.