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Finding the Fourth Proportional to 266,223.80, 399,445.05 and 97,824.80

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Solution

The fourth proportional to 266,223.80, 399,445.05 and 97,824.80 is: 146,777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,223.80 : 399,445.05 = 97,824.80 : x
  2. Step 2: Convert to fraction form
    266,223.80/399,445.05 = 97,824.80/x
  3. Step 3: Cross multiply
    266,223.80x = 399,445.05 × 97,824.80
  4. Step 4: Simplify right side
    266,223.80x = 39,075,632,127.24
  5. Step 5: Solve for x
    x = 39,075,632,127.24/266,223.80
  6. Step 6: Final answer
    x = 146,777.38

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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.