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Finding the Fourth Proportional to 605,531.40, 907,649.10 and 205,801.80

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Solution

The fourth proportional to 605,531.40, 907,649.10 and 205,801.80 is: 308,482.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,531.40 : 907,649.10 = 205,801.80 : x
  2. Step 2: Convert to fraction form
    605,531.40/907,649.10 = 205,801.80/x
  3. Step 3: Cross multiply
    605,531.40x = 907,649.10 × 205,801.80
  4. Step 4: Simplify right side
    605,531.40x = 186,795,818,548.38
  5. Step 5: Solve for x
    x = 186,795,818,548.38/605,531.40
  6. Step 6: Final answer
    x = 308,482.46

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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.