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Finding the Fourth Proportional to 205,415.90, 288,411.70 and 205,415.90

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Solution

The fourth proportional to 205,415.90, 288,411.70 and 205,415.90 is: 288,411.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,415.90 : 288,411.70 = 205,415.90 : x
  2. Step 2: Convert to fraction form
    205,415.90/288,411.70 = 205,415.90/x
  3. Step 3: Cross multiply
    205,415.90x = 288,411.70 × 205,415.90
  4. Step 4: Simplify right side
    205,415.90x = 59,244,348,926.03
  5. Step 5: Solve for x
    x = 59,244,348,926.03/205,415.90
  6. Step 6: Final answer
    x = 288,411.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.