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Finding the Fourth Proportional to 282,978.30, 390,396.90 and 180,980.28

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Solution

The fourth proportional to 282,978.30, 390,396.90 and 180,980.28 is: 249,680.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,978.30 : 390,396.90 = 180,980.28 : x
  2. Step 2: Convert to fraction form
    282,978.30/390,396.90 = 180,980.28/x
  3. Step 3: Cross multiply
    282,978.30x = 390,396.90 × 180,980.28
  4. Step 4: Simplify right side
    282,978.30x = 70,654,140,273.13
  5. Step 5: Solve for x
    x = 70,654,140,273.13/282,978.30
  6. Step 6: Final answer
    x = 249,680.42

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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.