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Finding the Fourth Proportional to 714,931.31, 986,692.69 and 413,125.31

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Solution

The fourth proportional to 714,931.31, 986,692.69 and 413,125.31 is: 570,163.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,931.31 : 986,692.69 = 413,125.31 : x
  2. Step 2: Convert to fraction form
    714,931.31/986,692.69 = 413,125.31/x
  3. Step 3: Cross multiply
    714,931.31x = 986,692.69 × 413,125.31
  4. Step 4: Simplify right side
    714,931.31x = 407,627,726,414.12
  5. Step 5: Solve for x
    x = 407,627,726,414.12/714,931.31
  6. Step 6: Final answer
    x = 570,163.48

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1.5x scale

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.