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Finding the Fourth Proportional to 312,815.94, 469,341.36 and 144,416.94

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Solution

The fourth proportional to 312,815.94, 469,341.36 and 144,416.94 is: 216,679.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,815.94 : 469,341.36 = 144,416.94 : x
  2. Step 2: Convert to fraction form
    312,815.94/469,341.36 = 144,416.94/x
  3. Step 3: Cross multiply
    312,815.94x = 469,341.36 × 144,416.94
  4. Step 4: Simplify right side
    312,815.94x = 67,780,843,026.64
  5. Step 5: Solve for x
    x = 67,780,843,026.64/312,815.94
  6. Step 6: Final answer
    x = 216,679.63

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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.