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Finding the Fourth Proportional to 266,051.30, 399,096.16 and 160,643.30

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Solution

The fourth proportional to 266,051.30, 399,096.16 and 160,643.30 is: 240,976.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,051.30 : 399,096.16 = 160,643.30 : x
  2. Step 2: Convert to fraction form
    266,051.30/399,096.16 = 160,643.30/x
  3. Step 3: Cross multiply
    266,051.30x = 399,096.16 × 160,643.30
  4. Step 4: Simplify right side
    266,051.30x = 64,112,124,159.73
  5. Step 5: Solve for x
    x = 64,112,124,159.73/266,051.30
  6. Step 6: Final answer
    x = 240,976.55

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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.