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Finding the Fourth Proportional to 402,200.70, 603,301.05 and 152,850.30

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Solution

The fourth proportional to 402,200.70, 603,301.05 and 152,850.30 is: 229,275.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,200.70 : 603,301.05 = 152,850.30 : x
  2. Step 2: Convert to fraction form
    402,200.70/603,301.05 = 152,850.30/x
  3. Step 3: Cross multiply
    402,200.70x = 603,301.05 × 152,850.30
  4. Step 4: Simplify right side
    402,200.70x = 92,214,746,482.82
  5. Step 5: Solve for x
    x = 92,214,746,482.82/402,200.70
  6. Step 6: Final answer
    x = 229,275.45

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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.