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Finding the Fourth Proportional to 796,353, 1,098,967.20 and 438,657

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Solution

The fourth proportional to 796,353, 1,098,967.20 and 438,657 is: 605,346.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,353 : 1,098,967.20 = 438,657 : x
  2. Step 2: Convert to fraction form
    796,353/1,098,967.20 = 438,657/x
  3. Step 3: Cross multiply
    796,353x = 1,098,967.20 × 438,657
  4. Step 4: Simplify right side
    796,353x = 482,069,655,050.40
  5. Step 5: Solve for x
    x = 482,069,655,050.40/796,353
  6. Step 6: Final answer
    x = 605,346.69

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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.