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Finding the Fourth Proportional to 710,425.12, 1,065,637.76 and 289,733.92

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Solution

The fourth proportional to 710,425.12, 1,065,637.76 and 289,733.92 is: 434,600.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,425.12 : 1,065,637.76 = 289,733.92 : x
  2. Step 2: Convert to fraction form
    710,425.12/1,065,637.76 = 289,733.92/x
  3. Step 3: Cross multiply
    710,425.12x = 1,065,637.76 × 289,733.92
  4. Step 4: Simplify right side
    710,425.12x = 308,751,405,504.82
  5. Step 5: Solve for x
    x = 308,751,405,504.82/710,425.12
  6. Step 6: Final answer
    x = 434,600.91

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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.