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Finding the Fourth Proportional to 700,287.77, 966,438.31 and 428,407.77

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Solution

The fourth proportional to 700,287.77, 966,438.31 and 428,407.77 is: 591,227.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,287.77 : 966,438.31 = 428,407.77 : x
  2. Step 2: Convert to fraction form
    700,287.77/966,438.31 = 428,407.77/x
  3. Step 3: Cross multiply
    700,287.77x = 966,438.31 × 428,407.77
  4. Step 4: Simplify right side
    700,287.77x = 414,029,686,192.59
  5. Step 5: Solve for x
    x = 414,029,686,192.59/700,287.77
  6. Step 6: Final answer
    x = 591,227.93

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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.