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Finding the Fourth Proportional to 582,650.61, 803,415.19 and 398,919.42

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Solution

The fourth proportional to 582,650.61, 803,415.19 and 398,919.42 is: 550,068.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,650.61 : 803,415.19 = 398,919.42 : x
  2. Step 2: Convert to fraction form
    582,650.61/803,415.19 = 398,919.42/x
  3. Step 3: Cross multiply
    582,650.61x = 803,415.19 × 398,919.42
  4. Step 4: Simplify right side
    582,650.61x = 320,497,921,613.99
  5. Step 5: Solve for x
    x = 320,497,921,613.99/582,650.61
  6. Step 6: Final answer
    x = 550,068.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.