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Finding the Fourth Proportional to 402,029.57, 603,043.74 and 313,349.55

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Solution

The fourth proportional to 402,029.57, 603,043.74 and 313,349.55 is: 470,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,029.57 : 603,043.74 = 313,349.55 : x
  2. Step 2: Convert to fraction form
    402,029.57/603,043.74 = 313,349.55/x
  3. Step 3: Cross multiply
    402,029.57x = 603,043.74 × 313,349.55
  4. Step 4: Simplify right side
    402,029.57x = 188,963,484,559.32
  5. Step 5: Solve for x
    x = 188,963,484,559.32/402,029.57
  6. Step 6: Final answer
    x = 470,023.85

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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.