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Finding the Fourth Proportional to 605,219.80, 907,829.70 and 402,266.20

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Solution

The fourth proportional to 605,219.80, 907,829.70 and 402,266.20 is: 603,399.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,219.80 : 907,829.70 = 402,266.20 : x
  2. Step 2: Convert to fraction form
    605,219.80/907,829.70 = 402,266.20/x
  3. Step 3: Cross multiply
    605,219.80x = 907,829.70 × 402,266.20
  4. Step 4: Simplify right side
    605,219.80x = 365,189,203,666.14
  5. Step 5: Solve for x
    x = 365,189,203,666.14/605,219.80
  6. Step 6: Final answer
    x = 603,399.30

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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.