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Finding the Fourth Proportional to 320,878.72, 480,626.08 and 302,014.24

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Solution

The fourth proportional to 320,878.72, 480,626.08 and 302,014.24 is: 452,370.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,878.72 : 480,626.08 = 302,014.24 : x
  2. Step 2: Convert to fraction form
    320,878.72/480,626.08 = 302,014.24/x
  3. Step 3: Cross multiply
    320,878.72x = 480,626.08 × 302,014.24
  4. Step 4: Simplify right side
    320,878.72x = 145,155,920,275.38
  5. Step 5: Solve for x
    x = 145,155,920,275.38/320,878.72
  6. Step 6: Final answer
    x = 452,370.04

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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.