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Finding the Fourth Proportional to 282,510.80, 389,865.96 and 155,188.88

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Solution

The fourth proportional to 282,510.80, 389,865.96 and 155,188.88 is: 214,161.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,510.80 : 389,865.96 = 155,188.88 : x
  2. Step 2: Convert to fraction form
    282,510.80/389,865.96 = 155,188.88/x
  3. Step 3: Cross multiply
    282,510.80x = 389,865.96 × 155,188.88
  4. Step 4: Simplify right side
    282,510.80x = 60,502,861,682.52
  5. Step 5: Solve for x
    x = 60,502,861,682.52/282,510.80
  6. Step 6: Final answer
    x = 214,161.23

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1.5x scale

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.