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Finding the Fourth Proportional to 402,281.40, 603,762.30 and 165,793.80

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Solution

The fourth proportional to 402,281.40, 603,762.30 and 165,793.80 is: 248,830.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,281.40 : 603,762.30 = 165,793.80 : x
  2. Step 2: Convert to fraction form
    402,281.40/603,762.30 = 165,793.80/x
  3. Step 3: Cross multiply
    402,281.40x = 603,762.30 × 165,793.80
  4. Step 4: Simplify right side
    402,281.40x = 100,100,046,013.74
  5. Step 5: Solve for x
    x = 100,100,046,013.74/402,281.40
  6. Step 6: Final answer
    x = 248,830.91

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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.