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Finding the Fourth Proportional to 980,702, 1,471,053.08 and 315,854

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Solution

The fourth proportional to 980,702, 1,471,053.08 and 315,854 is: 473,781.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,702 : 1,471,053.08 = 315,854 : x
  2. Step 2: Convert to fraction form
    980,702/1,471,053.08 = 315,854/x
  3. Step 3: Cross multiply
    980,702x = 1,471,053.08 × 315,854
  4. Step 4: Simplify right side
    980,702x = 464,637,999,530.32
  5. Step 5: Solve for x
    x = 464,637,999,530.32/980,702
  6. Step 6: Final answer
    x = 473,781.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.