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Finding the Fourth Proportional to 374,651.76, 561,829.70 and 149,970.30

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Solution

The fourth proportional to 374,651.76, 561,829.70 and 149,970.30 is: 224,896.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,651.76 : 561,829.70 = 149,970.30 : x
  2. Step 2: Convert to fraction form
    374,651.76/561,829.70 = 149,970.30/x
  3. Step 3: Cross multiply
    374,651.76x = 561,829.70 × 149,970.30
  4. Step 4: Simplify right side
    374,651.76x = 84,257,768,657.91
  5. Step 5: Solve for x
    x = 84,257,768,657.91/374,651.76
  6. Step 6: Final answer
    x = 224,896.23

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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.