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Finding the Fourth Proportional to 402,820.84, 555,881.66 and 221,532.77

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Solution

The fourth proportional to 402,820.84, 555,881.66 and 221,532.77 is: 305,709.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,820.84 : 555,881.66 = 221,532.77 : x
  2. Step 2: Convert to fraction form
    402,820.84/555,881.66 = 221,532.77/x
  3. Step 3: Cross multiply
    402,820.84x = 555,881.66 × 221,532.77
  4. Step 4: Simplify right side
    402,820.84x = 123,146,003,932.00
  5. Step 5: Solve for x
    x = 123,146,003,932.00/402,820.84
  6. Step 6: Final answer
    x = 305,709.12

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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.