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Finding the Fourth Proportional to 402,030.57, 603,045.24 and 313,350.55

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Solution

The fourth proportional to 402,030.57, 603,045.24 and 313,350.55 is: 470,025.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,030.57 : 603,045.24 = 313,350.55 : x
  2. Step 2: Convert to fraction form
    402,030.57/603,045.24 = 313,350.55/x
  3. Step 3: Cross multiply
    402,030.57x = 603,045.24 × 313,350.55
  4. Step 4: Simplify right side
    402,030.57x = 188,964,557,628.88
  5. Step 5: Solve for x
    x = 188,964,557,628.88/402,030.57
  6. Step 6: Final answer
    x = 470,025.35

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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.