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Finding the Fourth Proportional to 485,046, 669,363.48 and 283,842

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Solution

The fourth proportional to 485,046, 669,363.48 and 283,842 is: 391,701.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,046 : 669,363.48 = 283,842 : x
  2. Step 2: Convert to fraction form
    485,046/669,363.48 = 283,842/x
  3. Step 3: Cross multiply
    485,046x = 669,363.48 × 283,842
  4. Step 4: Simplify right side
    485,046x = 189,993,468,890.16
  5. Step 5: Solve for x
    x = 189,993,468,890.16/485,046
  6. Step 6: Final answer
    x = 391,701.96

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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.