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Finding the Fourth Proportional to 472,305.72, 708,461.76 and 172,663.02

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Solution

The fourth proportional to 472,305.72, 708,461.76 and 172,663.02 is: 258,995.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,305.72 : 708,461.76 = 172,663.02 : x
  2. Step 2: Convert to fraction form
    472,305.72/708,461.76 = 172,663.02/x
  3. Step 3: Cross multiply
    472,305.72x = 708,461.76 × 172,663.02
  4. Step 4: Simplify right side
    472,305.72x = 122,325,147,036.12
  5. Step 5: Solve for x
    x = 122,325,147,036.12/472,305.72
  6. Step 6: Final answer
    x = 258,995.69

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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.