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Finding the Fourth Proportional to 282,745.52, 390,080.62 and 209,332.80

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Solution

The fourth proportional to 282,745.52, 390,080.62 and 209,332.80 is: 288,799.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,745.52 : 390,080.62 = 209,332.80 : x
  2. Step 2: Convert to fraction form
    282,745.52/390,080.62 = 209,332.80/x
  3. Step 3: Cross multiply
    282,745.52x = 390,080.62 × 209,332.80
  4. Step 4: Simplify right side
    282,745.52x = 81,656,668,410.34
  5. Step 5: Solve for x
    x = 81,656,668,410.34/282,745.52
  6. Step 6: Final answer
    x = 288,799.16

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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.