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Finding the Fourth Proportional to 282,679.30, 390,188.34 and 180,978.67

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Solution

The fourth proportional to 282,679.30, 390,188.34 and 180,978.67 is: 249,808.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,679.30 : 390,188.34 = 180,978.67 : x
  2. Step 2: Convert to fraction form
    282,679.30/390,188.34 = 180,978.67/x
  3. Step 3: Cross multiply
    282,679.30x = 390,188.34 × 180,978.67
  4. Step 4: Simplify right side
    282,679.30x = 70,615,767,310.44
  5. Step 5: Solve for x
    x = 70,615,767,310.44/282,679.30
  6. Step 6: Final answer
    x = 249,808.77

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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.