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Finding the Fourth Proportional to 283,590, 425,454.12 and 86,598

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Solution

The fourth proportional to 283,590, 425,454.12 and 86,598 is: 129,918.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,590 : 425,454.12 = 86,598 : x
  2. Step 2: Convert to fraction form
    283,590/425,454.12 = 86,598/x
  3. Step 3: Cross multiply
    283,590x = 425,454.12 × 86,598
  4. Step 4: Simplify right side
    283,590x = 36,843,475,883.76
  5. Step 5: Solve for x
    x = 36,843,475,883.76/283,590
  6. Step 6: Final answer
    x = 129,918.11

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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.