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Finding the Fourth Proportional to 282,841.90, 390,321.75 and 155,525.74

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Solution

The fourth proportional to 282,841.90, 390,321.75 and 155,525.74 is: 214,625.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,841.90 : 390,321.75 = 155,525.74 : x
  2. Step 2: Convert to fraction form
    282,841.90/390,321.75 = 155,525.74/x
  3. Step 3: Cross multiply
    282,841.90x = 390,321.75 × 155,525.74
  4. Step 4: Simplify right side
    282,841.90x = 60,705,079,006.85
  5. Step 5: Solve for x
    x = 60,705,079,006.85/282,841.90
  6. Step 6: Final answer
    x = 214,625.48

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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.