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Finding the Fourth Proportional to 559,752.89, 772,459.19 and 318,035.78

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Solution

The fourth proportional to 559,752.89, 772,459.19 and 318,035.78 is: 438,889.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,752.89 : 772,459.19 = 318,035.78 : x
  2. Step 2: Convert to fraction form
    559,752.89/772,459.19 = 318,035.78/x
  3. Step 3: Cross multiply
    559,752.89x = 772,459.19 × 318,035.78
  4. Step 4: Simplify right side
    559,752.89x = 245,669,659,873.76
  5. Step 5: Solve for x
    x = 245,669,659,873.76/559,752.89
  6. Step 6: Final answer
    x = 438,889.49

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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.