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Finding the Fourth Proportional to 472,055.70, 708,700.96 and 280,280.23

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Solution

The fourth proportional to 472,055.70, 708,700.96 and 280,280.23 is: 420,786.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,055.70 : 708,700.96 = 280,280.23 : x
  2. Step 2: Convert to fraction form
    472,055.70/708,700.96 = 280,280.23/x
  3. Step 3: Cross multiply
    472,055.70x = 708,700.96 × 280,280.23
  4. Step 4: Simplify right side
    472,055.70x = 198,634,868,070.02
  5. Step 5: Solve for x
    x = 198,634,868,070.02/472,055.70
  6. Step 6: Final answer
    x = 420,786.93

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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.