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Finding the Fourth Proportional to 610,534, 842,536.92 and 342,262

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Solution

The fourth proportional to 610,534, 842,536.92 and 342,262 is: 472,321.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,534 : 842,536.92 = 342,262 : x
  2. Step 2: Convert to fraction form
    610,534/842,536.92 = 342,262/x
  3. Step 3: Cross multiply
    610,534x = 842,536.92 × 342,262
  4. Step 4: Simplify right side
    610,534x = 288,368,371,313.04
  5. Step 5: Solve for x
    x = 288,368,371,313.04/610,534
  6. Step 6: Final answer
    x = 472,321.56

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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.