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Finding the Fourth Proportional to 266,963.99, 400,363.43 and 77,438.30

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Solution

The fourth proportional to 266,963.99, 400,363.43 and 77,438.30 is: 116,133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,963.99 : 400,363.43 = 77,438.30 : x
  2. Step 2: Convert to fraction form
    266,963.99/400,363.43 = 77,438.30/x
  3. Step 3: Cross multiply
    266,963.99x = 400,363.43 × 77,438.30
  4. Step 4: Simplify right side
    266,963.99x = 31,003,461,012.36
  5. Step 5: Solve for x
    x = 31,003,461,012.36/266,963.99
  6. Step 6: Final answer
    x = 116,133.50

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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.