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Finding the Fourth Proportional to 402,784.74, 555,847.02 and 221,497.93

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Solution

The fourth proportional to 402,784.74, 555,847.02 and 221,497.93 is: 305,669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,784.74 : 555,847.02 = 221,497.93 : x
  2. Step 2: Convert to fraction form
    402,784.74/555,847.02 = 221,497.93/x
  3. Step 3: Cross multiply
    402,784.74x = 555,847.02 × 221,497.93
  4. Step 4: Simplify right side
    402,784.74x = 123,118,964,326.67
  5. Step 5: Solve for x
    x = 123,118,964,326.67/402,784.74
  6. Step 6: Final answer
    x = 305,669.39

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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.