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Finding the Fourth Proportional to 280,530.72, 420,799.68 and 93,542.16

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Solution

The fourth proportional to 280,530.72, 420,799.68 and 93,542.16 is: 140,314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,530.72 : 420,799.68 = 93,542.16 : x
  2. Step 2: Convert to fraction form
    280,530.72/420,799.68 = 93,542.16/x
  3. Step 3: Cross multiply
    280,530.72x = 420,799.68 × 93,542.16
  4. Step 4: Simplify right side
    280,530.72x = 39,362,510,994.51
  5. Step 5: Solve for x
    x = 39,362,510,994.51/280,530.72
  6. Step 6: Final answer
    x = 140,314.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.