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Finding the Fourth Proportional to 472,415.90, 708,416.07 and 172,818.77

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Solution

The fourth proportional to 472,415.90, 708,416.07 and 172,818.77 is: 259,152.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,415.90 : 708,416.07 = 172,818.77 : x
  2. Step 2: Convert to fraction form
    472,415.90/708,416.07 = 172,818.77/x
  3. Step 3: Cross multiply
    472,415.90x = 708,416.07 × 172,818.77
  4. Step 4: Simplify right side
    472,415.90x = 122,427,593,865.63
  5. Step 5: Solve for x
    x = 122,427,593,865.63/472,415.90
  6. Step 6: Final answer
    x = 259,152.15

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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.