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Finding the Fourth Proportional to 312,995.21, 468,866.68 and 144,284.76

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Solution

The fourth proportional to 312,995.21, 468,866.68 and 144,284.76 is: 216,138.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,995.21 : 468,866.68 = 144,284.76 : x
  2. Step 2: Convert to fraction form
    312,995.21/468,866.68 = 144,284.76/x
  3. Step 3: Cross multiply
    312,995.21x = 468,866.68 × 144,284.76
  4. Step 4: Simplify right side
    312,995.21x = 67,650,316,035.08
  5. Step 5: Solve for x
    x = 67,650,316,035.08/312,995.21
  6. Step 6: Final answer
    x = 216,138.51

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1.5x scale

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.