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Finding the Fourth Proportional to 374,151.80, 560,838.90 and 205,412.60

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Solution

The fourth proportional to 374,151.80, 560,838.90 and 205,412.60 is: 307,905.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,151.80 : 560,838.90 = 205,412.60 : x
  2. Step 2: Convert to fraction form
    374,151.80/560,838.90 = 205,412.60/x
  3. Step 3: Cross multiply
    374,151.80x = 560,838.90 × 205,412.60
  4. Step 4: Simplify right side
    374,151.80x = 115,203,376,630.14
  5. Step 5: Solve for x
    x = 115,203,376,630.14/374,151.80
  6. Step 6: Final answer
    x = 307,905.45

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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.