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Finding the Fourth Proportional to 472,075.30, 708,408.20 and 191,592.55

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Solution

The fourth proportional to 472,075.30, 708,408.20 and 191,592.55 is: 287,508.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,075.30 : 708,408.20 = 191,592.55 : x
  2. Step 2: Convert to fraction form
    472,075.30/708,408.20 = 191,592.55/x
  3. Step 3: Cross multiply
    472,075.30x = 708,408.20 × 191,592.55
  4. Step 4: Simplify right side
    472,075.30x = 135,725,733,478.91
  5. Step 5: Solve for x
    x = 135,725,733,478.91/472,075.30
  6. Step 6: Final answer
    x = 287,508.65

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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.