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Finding the Fourth Proportional to 282,598.67, 389,656.58 and 210,854.14

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Solution

The fourth proportional to 282,598.67, 389,656.58 and 210,854.14 is: 290,732.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,598.67 : 389,656.58 = 210,854.14 : x
  2. Step 2: Convert to fraction form
    282,598.67/389,656.58 = 210,854.14/x
  3. Step 3: Cross multiply
    282,598.67x = 389,656.58 × 210,854.14
  4. Step 4: Simplify right side
    282,598.67x = 82,160,701,042.83
  5. Step 5: Solve for x
    x = 82,160,701,042.83/282,598.67
  6. Step 6: Final answer
    x = 290,732.79

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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.