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Finding the Fourth Proportional to 442,773.78, 610,919.12 and 258,983.76

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Solution

The fourth proportional to 442,773.78, 610,919.12 and 258,983.76 is: 357,334.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,773.78 : 610,919.12 = 258,983.76 : x
  2. Step 2: Convert to fraction form
    442,773.78/610,919.12 = 258,983.76/x
  3. Step 3: Cross multiply
    442,773.78x = 610,919.12 × 258,983.76
  4. Step 4: Simplify right side
    442,773.78x = 158,218,130,753.49
  5. Step 5: Solve for x
    x = 158,218,130,753.49/442,773.78
  6. Step 6: Final answer
    x = 357,334.01

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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.