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Finding the Fourth Proportional to 714,391.47, 985,858.92 and 408,473.60

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Solution

The fourth proportional to 714,391.47, 985,858.92 and 408,473.60 is: 563,692.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,391.47 : 985,858.92 = 408,473.60 : x
  2. Step 2: Convert to fraction form
    714,391.47/985,858.92 = 408,473.60/x
  3. Step 3: Cross multiply
    714,391.47x = 985,858.92 × 408,473.60
  4. Step 4: Simplify right side
    714,391.47x = 402,697,337,215.22
  5. Step 5: Solve for x
    x = 402,697,337,215.22/714,391.47
  6. Step 6: Final answer
    x = 563,692.81

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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.