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Finding the Fourth Proportional to 280,813.68, 387,783 and 180,388.08

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Solution

The fourth proportional to 280,813.68, 387,783 and 180,388.08 is: 249,102.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,813.68 : 387,783 = 180,388.08 : x
  2. Step 2: Convert to fraction form
    280,813.68/387,783 = 180,388.08/x
  3. Step 3: Cross multiply
    280,813.68x = 387,783 × 180,388.08
  4. Step 4: Simplify right side
    280,813.68x = 69,951,430,826.64
  5. Step 5: Solve for x
    x = 69,951,430,826.64/280,813.68
  6. Step 6: Final answer
    x = 249,102.65

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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.