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Finding the Fourth Proportional to 402,169.63, 603,328.59 and 132,312.94

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Solution

The fourth proportional to 402,169.63, 603,328.59 and 132,312.94 is: 198,493.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,169.63 : 603,328.59 = 132,312.94 : x
  2. Step 2: Convert to fraction form
    402,169.63/603,328.59 = 132,312.94/x
  3. Step 3: Cross multiply
    402,169.63x = 603,328.59 × 132,312.94
  4. Step 4: Simplify right side
    402,169.63x = 79,828,179,528.95
  5. Step 5: Solve for x
    x = 79,828,179,528.95/402,169.63
  6. Step 6: Final answer
    x = 198,493.80

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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.