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Finding the Fourth Proportional to 563,718.96, 777,324.60 and 428,001.84

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Solution

The fourth proportional to 563,718.96, 777,324.60 and 428,001.84 is: 590,181.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,718.96 : 777,324.60 = 428,001.84 : x
  2. Step 2: Convert to fraction form
    563,718.96/777,324.60 = 428,001.84/x
  3. Step 3: Cross multiply
    563,718.96x = 777,324.60 × 428,001.84
  4. Step 4: Simplify right side
    563,718.96x = 332,696,359,077.26
  5. Step 5: Solve for x
    x = 332,696,359,077.26/563,718.96
  6. Step 6: Final answer
    x = 590,181.25

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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.