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Finding the Fourth Proportional to 253,706.93, 380,285.30 and 127,041.80

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Solution

The fourth proportional to 253,706.93, 380,285.30 and 127,041.80 is: 190,424.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,706.93 : 380,285.30 = 127,041.80 : x
  2. Step 2: Convert to fraction form
    253,706.93/380,285.30 = 127,041.80/x
  3. Step 3: Cross multiply
    253,706.93x = 380,285.30 × 127,041.80
  4. Step 4: Simplify right side
    253,706.93x = 48,312,130,293.86
  5. Step 5: Solve for x
    x = 48,312,130,293.86/253,706.93
  6. Step 6: Final answer
    x = 190,424.96

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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.