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Finding the Fourth Proportional to 462,980.20, 638,909.22 and 261,783.40

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Solution

The fourth proportional to 462,980.20, 638,909.22 and 261,783.40 is: 361,259.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,980.20 : 638,909.22 = 261,783.40 : x
  2. Step 2: Convert to fraction form
    462,980.20/638,909.22 = 261,783.40/x
  3. Step 3: Cross multiply
    462,980.20x = 638,909.22 × 261,783.40
  4. Step 4: Simplify right side
    462,980.20x = 167,255,827,902.95
  5. Step 5: Solve for x
    x = 167,255,827,902.95/462,980.20
  6. Step 6: Final answer
    x = 361,259.14

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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.