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Finding the Fourth Proportional to 655,384.78, 983,459.49 and 276,282.50

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Solution

The fourth proportional to 655,384.78, 983,459.49 and 276,282.50 is: 414,584.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,384.78 : 983,459.49 = 276,282.50 : x
  2. Step 2: Convert to fraction form
    655,384.78/983,459.49 = 276,282.50/x
  3. Step 3: Cross multiply
    655,384.78x = 983,459.49 × 276,282.50
  4. Step 4: Simplify right side
    655,384.78x = 271,712,646,545.93
  5. Step 5: Solve for x
    x = 271,712,646,545.93/655,384.78
  6. Step 6: Final answer
    x = 414,584.92

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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.