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Finding the Fourth Proportional to 402,521.80, 603,696.30 and 177,881.80

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Solution

The fourth proportional to 402,521.80, 603,696.30 and 177,881.80 is: 266,784.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,521.80 : 603,696.30 = 177,881.80 : x
  2. Step 2: Convert to fraction form
    402,521.80/603,696.30 = 177,881.80/x
  3. Step 3: Cross multiply
    402,521.80x = 603,696.30 × 177,881.80
  4. Step 4: Simplify right side
    402,521.80x = 107,386,584,497.34
  5. Step 5: Solve for x
    x = 107,386,584,497.34/402,521.80
  6. Step 6: Final answer
    x = 266,784.52

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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.