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Finding the Fourth Proportional to 472,176, 708,402.72 and 139,760.64

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Solution

The fourth proportional to 472,176, 708,402.72 and 139,760.64 is: 209,682.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,176 : 708,402.72 = 139,760.64 : x
  2. Step 2: Convert to fraction form
    472,176/708,402.72 = 139,760.64/x
  3. Step 3: Cross multiply
    472,176x = 708,402.72 × 139,760.64
  4. Step 4: Simplify right side
    472,176x = 99,006,817,524.94
  5. Step 5: Solve for x
    x = 99,006,817,524.94/472,176
  6. Step 6: Final answer
    x = 209,682.02

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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.