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Finding the Fourth Proportional to 564,222.90, 778,621.50 and 309,574.02

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Solution

The fourth proportional to 564,222.90, 778,621.50 and 309,574.02 is: 427,208.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,222.90 : 778,621.50 = 309,574.02 : x
  2. Step 2: Convert to fraction form
    564,222.90/778,621.50 = 309,574.02/x
  3. Step 3: Cross multiply
    564,222.90x = 778,621.50 × 309,574.02
  4. Step 4: Simplify right side
    564,222.90x = 241,040,987,813.43
  5. Step 5: Solve for x
    x = 241,040,987,813.43/564,222.90
  6. Step 6: Final answer
    x = 427,208.80

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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.