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Finding the Fourth Proportional to 318,727.76, 478,907.64 and 240,578

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Solution

The fourth proportional to 318,727.76, 478,907.64 and 240,578 is: 361,482.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,727.76 : 478,907.64 = 240,578 : x
  2. Step 2: Convert to fraction form
    318,727.76/478,907.64 = 240,578/x
  3. Step 3: Cross multiply
    318,727.76x = 478,907.64 × 240,578
  4. Step 4: Simplify right side
    318,727.76x = 115,214,642,215.92
  5. Step 5: Solve for x
    x = 115,214,642,215.92/318,727.76
  6. Step 6: Final answer
    x = 361,482.92

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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.