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Finding the Fourth Proportional to 280,156.16, 420,312 and 155,584.64

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Solution

The fourth proportional to 280,156.16, 420,312 and 155,584.64 is: 233,420.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,156.16 : 420,312 = 155,584.64 : x
  2. Step 2: Convert to fraction form
    280,156.16/420,312 = 155,584.64/x
  3. Step 3: Cross multiply
    280,156.16x = 420,312 × 155,584.64
  4. Step 4: Simplify right side
    280,156.16x = 65,394,091,207.68
  5. Step 5: Solve for x
    x = 65,394,091,207.68/280,156.16
  6. Step 6: Final answer
    x = 233,420.14

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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.