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Finding the Fourth Proportional to 550,010, 758,438.12 and 407,069.84

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Solution

The fourth proportional to 550,010, 758,438.12 and 407,069.84 is: 561,330.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,010 : 758,438.12 = 407,069.84 : x
  2. Step 2: Convert to fraction form
    550,010/758,438.12 = 407,069.84/x
  3. Step 3: Cross multiply
    550,010x = 758,438.12 × 407,069.84
  4. Step 4: Simplify right side
    550,010x = 308,737,284,158.30
  5. Step 5: Solve for x
    x = 308,737,284,158.30/550,010
  6. Step 6: Final answer
    x = 561,330.31

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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.