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Finding the Fourth Proportional to 421,605.60, 630,872.40 and 311,013.60

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Solution

The fourth proportional to 421,605.60, 630,872.40 and 311,013.60 is: 465,387.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,605.60 : 630,872.40 = 311,013.60 : x
  2. Step 2: Convert to fraction form
    421,605.60/630,872.40 = 311,013.60/x
  3. Step 3: Cross multiply
    421,605.60x = 630,872.40 × 311,013.60
  4. Step 4: Simplify right side
    421,605.60x = 196,209,896,264.64
  5. Step 5: Solve for x
    x = 196,209,896,264.64/421,605.60
  6. Step 6: Final answer
    x = 465,387.31

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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.