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Finding the Fourth Proportional to 282,237.86, 389,482.69 and 159,727.97

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Solution

The fourth proportional to 282,237.86, 389,482.69 and 159,727.97 is: 220,421.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,237.86 : 389,482.69 = 159,727.97 : x
  2. Step 2: Convert to fraction form
    282,237.86/389,482.69 = 159,727.97/x
  3. Step 3: Cross multiply
    282,237.86x = 389,482.69 × 159,727.97
  4. Step 4: Simplify right side
    282,237.86x = 62,211,279,423.84
  5. Step 5: Solve for x
    x = 62,211,279,423.84/282,237.86
  6. Step 6: Final answer
    x = 220,421.45

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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.