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Finding the Fourth Proportional to 282,347.68, 389,647.92 and 159,830.60

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Solution

The fourth proportional to 282,347.68, 389,647.92 and 159,830.60 is: 220,570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,347.68 : 389,647.92 = 159,830.60 : x
  2. Step 2: Convert to fraction form
    282,347.68/389,647.92 = 159,830.60/x
  3. Step 3: Cross multiply
    282,347.68x = 389,647.92 × 159,830.60
  4. Step 4: Simplify right side
    282,347.68x = 62,277,660,842.35
  5. Step 5: Solve for x
    x = 62,277,660,842.35/282,347.68
  6. Step 6: Final answer
    x = 220,570.83

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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.