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Finding the Fourth Proportional to 798,290, 1,101,641.64 and 440,594

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Solution

The fourth proportional to 798,290, 1,101,641.64 and 440,594 is: 608,020.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,290 : 1,101,641.64 = 440,594 : x
  2. Step 2: Convert to fraction form
    798,290/1,101,641.64 = 440,594/x
  3. Step 3: Cross multiply
    798,290x = 1,101,641.64 × 440,594
  4. Step 4: Simplify right side
    798,290x = 485,376,696,734.16
  5. Step 5: Solve for x
    x = 485,376,696,734.16/798,290
  6. Step 6: Final answer
    x = 608,020.51

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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.