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Finding the Fourth Proportional to 871,407.81, 1,202,655.54 and 489,434.58

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Solution

The fourth proportional to 871,407.81, 1,202,655.54 and 489,434.58 is: 675,483.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,407.81 : 1,202,655.54 = 489,434.58 : x
  2. Step 2: Convert to fraction form
    871,407.81/1,202,655.54 = 489,434.58/x
  3. Step 3: Cross multiply
    871,407.81x = 1,202,655.54 × 489,434.58
  4. Step 4: Simplify right side
    871,407.81x = 588,621,209,104.57
  5. Step 5: Solve for x
    x = 588,621,209,104.57/871,407.81
  6. Step 6: Final answer
    x = 675,483.05

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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.