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Finding the Fourth Proportional to 472,271.08, 708,517.40 and 187,978.92

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Solution

The fourth proportional to 472,271.08, 708,517.40 and 187,978.92 is: 282,012.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,271.08 : 708,517.40 = 187,978.92 : x
  2. Step 2: Convert to fraction form
    472,271.08/708,517.40 = 187,978.92/x
  3. Step 3: Cross multiply
    472,271.08x = 708,517.40 × 187,978.92
  4. Step 4: Simplify right side
    472,271.08x = 133,186,335,653.21
  5. Step 5: Solve for x
    x = 133,186,335,653.21/472,271.08
  6. Step 6: Final answer
    x = 282,012.47

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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.