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Finding the Fourth Proportional to 266,415.16, 399,363 and 106,443.40

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Solution

The fourth proportional to 266,415.16, 399,363 and 106,443.40 is: 159,561.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,415.16 : 399,363 = 106,443.40 : x
  2. Step 2: Convert to fraction form
    266,415.16/399,363 = 106,443.40/x
  3. Step 3: Cross multiply
    266,415.16x = 399,363 × 106,443.40
  4. Step 4: Simplify right side
    266,415.16x = 42,509,555,554.20
  5. Step 5: Solve for x
    x = 42,509,555,554.20/266,415.16
  6. Step 6: Final answer
    x = 159,561.32

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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.