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Finding the Fourth Proportional to 612,978.83, 919,459.03 and 275,781.40

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Solution

The fourth proportional to 612,978.83, 919,459.03 and 275,781.40 is: 413,667.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,978.83 : 919,459.03 = 275,781.40 : x
  2. Step 2: Convert to fraction form
    612,978.83/919,459.03 = 275,781.40/x
  3. Step 3: Cross multiply
    612,978.83x = 919,459.03 × 275,781.40
  4. Step 4: Simplify right side
    612,978.83x = 253,569,698,536.04
  5. Step 5: Solve for x
    x = 253,569,698,536.04/612,978.83
  6. Step 6: Final answer
    x = 413,667.95

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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.