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Finding the Fourth Proportional to 386,900.98, 533,045.08 and 299,385.16

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Solution

The fourth proportional to 386,900.98, 533,045.08 and 299,385.16 is: 412,471.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,900.98 : 533,045.08 = 299,385.16 : x
  2. Step 2: Convert to fraction form
    386,900.98/533,045.08 = 299,385.16/x
  3. Step 3: Cross multiply
    386,900.98x = 533,045.08 × 299,385.16
  4. Step 4: Simplify right side
    386,900.98x = 159,585,786,563.01
  5. Step 5: Solve for x
    x = 159,585,786,563.01/386,900.98
  6. Step 6: Final answer
    x = 412,471.91

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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.