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Finding the Fourth Proportional to 706,690.80, 1,059,708.15 and 307,125.90

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Solution

The fourth proportional to 706,690.80, 1,059,708.15 and 307,125.90 is: 460,546.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,690.80 : 1,059,708.15 = 307,125.90 : x
  2. Step 2: Convert to fraction form
    706,690.80/1,059,708.15 = 307,125.90/x
  3. Step 3: Cross multiply
    706,690.80x = 1,059,708.15 × 307,125.90
  4. Step 4: Simplify right side
    706,690.80x = 325,463,819,306.09
  5. Step 5: Solve for x
    x = 325,463,819,306.09/706,690.80
  6. Step 6: Final answer
    x = 460,546.28

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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.