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Finding the Fourth Proportional to 714,314.13, 985,797.86 and 472,176.78

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Solution

The fourth proportional to 714,314.13, 985,797.86 and 472,176.78 is: 651,633.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,314.13 : 985,797.86 = 472,176.78 : x
  2. Step 2: Convert to fraction form
    714,314.13/985,797.86 = 472,176.78/x
  3. Step 3: Cross multiply
    714,314.13x = 985,797.86 × 472,176.78
  4. Step 4: Simplify right side
    714,314.13x = 465,470,856,904.81
  5. Step 5: Solve for x
    x = 465,470,856,904.81/714,314.13
  6. Step 6: Final answer
    x = 651,633.28

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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.