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Finding the Fourth Proportional to 314,313.21, 433,946.03 and 216,363.69

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Solution

The fourth proportional to 314,313.21, 433,946.03 and 216,363.69 is: 298,715.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,313.21 : 433,946.03 = 216,363.69 : x
  2. Step 2: Convert to fraction form
    314,313.21/433,946.03 = 216,363.69/x
  3. Step 3: Cross multiply
    314,313.21x = 433,946.03 × 216,363.69
  4. Step 4: Simplify right side
    314,313.21x = 93,890,163,229.83
  5. Step 5: Solve for x
    x = 93,890,163,229.83/314,313.21
  6. Step 6: Final answer
    x = 298,715.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.