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Finding the Fourth Proportional to 402,642.72, 603,521.19 and 165,856.23

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Solution

The fourth proportional to 402,642.72, 603,521.19 and 165,856.23 is: 248,601.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,642.72 : 603,521.19 = 165,856.23 : x
  2. Step 2: Convert to fraction form
    402,642.72/603,521.19 = 165,856.23/x
  3. Step 3: Cross multiply
    402,642.72x = 603,521.19 × 165,856.23
  4. Step 4: Simplify right side
    402,642.72x = 100,097,749,298.51
  5. Step 5: Solve for x
    x = 100,097,749,298.51/402,642.72
  6. Step 6: Final answer
    x = 248,601.91

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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.