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Finding the Fourth Proportional to 420,702.85, 630,911.21 and 136,316.31

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Solution

The fourth proportional to 420,702.85, 630,911.21 and 136,316.31 is: 204,428.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,702.85 : 630,911.21 = 136,316.31 : x
  2. Step 2: Convert to fraction form
    420,702.85/630,911.21 = 136,316.31/x
  3. Step 3: Cross multiply
    420,702.85x = 630,911.21 × 136,316.31
  4. Step 4: Simplify right side
    420,702.85x = 86,003,488,084.84
  5. Step 5: Solve for x
    x = 86,003,488,084.84/420,702.85
  6. Step 6: Final answer
    x = 204,428.11

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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.