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Finding the Fourth Proportional to 674,295.64, 930,713.34 and 419,494.84

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Solution

The fourth proportional to 674,295.64, 930,713.34 and 419,494.84 is: 579,018.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,295.64 : 930,713.34 = 419,494.84 : x
  2. Step 2: Convert to fraction form
    674,295.64/930,713.34 = 419,494.84/x
  3. Step 3: Cross multiply
    674,295.64x = 930,713.34 × 419,494.84
  4. Step 4: Simplify right side
    674,295.64x = 390,429,443,649.17
  5. Step 5: Solve for x
    x = 390,429,443,649.17/674,295.64
  6. Step 6: Final answer
    x = 579,018.19

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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.