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Finding the Fourth Proportional to 402,187.80, 603,281.70 and 297,211.80

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Solution

The fourth proportional to 402,187.80, 603,281.70 and 297,211.80 is: 445,817.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,187.80 : 603,281.70 = 297,211.80 : x
  2. Step 2: Convert to fraction form
    402,187.80/603,281.70 = 297,211.80/x
  3. Step 3: Cross multiply
    402,187.80x = 603,281.70 × 297,211.80
  4. Step 4: Simplify right side
    402,187.80x = 179,302,439,964.06
  5. Step 5: Solve for x
    x = 179,302,439,964.06/402,187.80
  6. Step 6: Final answer
    x = 445,817.70

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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.