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Finding the Fourth Proportional to 313,423.94, 431,803.22 and 216,534.98

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Solution

The fourth proportional to 313,423.94, 431,803.22 and 216,534.98 is: 298,319.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,423.94 : 431,803.22 = 216,534.98 : x
  2. Step 2: Convert to fraction form
    313,423.94/431,803.22 = 216,534.98/x
  3. Step 3: Cross multiply
    313,423.94x = 431,803.22 × 216,534.98
  4. Step 4: Simplify right side
    313,423.94x = 93,500,501,606.64
  5. Step 5: Solve for x
    x = 93,500,501,606.64/313,423.94
  6. Step 6: Final answer
    x = 298,319.59

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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.