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Finding the Fourth Proportional to 264,429, 396,643.50 and 67,437

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Solution

The fourth proportional to 264,429, 396,643.50 and 67,437 is: 101,155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,429 : 396,643.50 = 67,437 : x
  2. Step 2: Convert to fraction form
    264,429/396,643.50 = 67,437/x
  3. Step 3: Cross multiply
    264,429x = 396,643.50 × 67,437
  4. Step 4: Simplify right side
    264,429x = 26,748,447,709.50
  5. Step 5: Solve for x
    x = 26,748,447,709.50/264,429
  6. Step 6: Final answer
    x = 101,155.50

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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.