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Finding the Fourth Proportional to 519,770, 779,966.04 and 224,282

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Solution

The fourth proportional to 519,770, 779,966.04 and 224,282 is: 336,557.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,770 : 779,966.04 = 224,282 : x
  2. Step 2: Convert to fraction form
    519,770/779,966.04 = 224,282/x
  3. Step 3: Cross multiply
    519,770x = 779,966.04 × 224,282
  4. Step 4: Simplify right side
    519,770x = 174,932,343,383.28
  5. Step 5: Solve for x
    x = 174,932,343,383.28/519,770
  6. Step 6: Final answer
    x = 336,557.21

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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.