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Finding the Fourth Proportional to 840,499, 1,159,888.62 and 538,693

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Solution

The fourth proportional to 840,499, 1,159,888.62 and 538,693 is: 743,396.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,499 : 1,159,888.62 = 538,693 : x
  2. Step 2: Convert to fraction form
    840,499/1,159,888.62 = 538,693/x
  3. Step 3: Cross multiply
    840,499x = 1,159,888.62 × 538,693
  4. Step 4: Simplify right side
    840,499x = 624,823,880,373.66
  5. Step 5: Solve for x
    x = 624,823,880,373.66/840,499
  6. Step 6: Final answer
    x = 743,396.34

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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.