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Finding the Fourth Proportional to 557,442.90, 836,492.40 and 202,492.80

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Solution

The fourth proportional to 557,442.90, 836,492.40 and 202,492.80 is: 303,858.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,442.90 : 836,492.40 = 202,492.80 : x
  2. Step 2: Convert to fraction form
    557,442.90/836,492.40 = 202,492.80/x
  3. Step 3: Cross multiply
    557,442.90x = 836,492.40 × 202,492.80
  4. Step 4: Simplify right side
    557,442.90x = 169,383,688,254.72
  5. Step 5: Solve for x
    x = 169,383,688,254.72/557,442.90
  6. Step 6: Final answer
    x = 303,858.37

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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.