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Finding the Fourth Proportional to 564,216.30, 778,619.43 and 309,569.31

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Solution

The fourth proportional to 564,216.30, 778,619.43 and 309,569.31 is: 427,206.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,216.30 : 778,619.43 = 309,569.31 : x
  2. Step 2: Convert to fraction form
    564,216.30/778,619.43 = 309,569.31/x
  3. Step 3: Cross multiply
    564,216.30x = 778,619.43 × 309,569.31
  4. Step 4: Simplify right side
    564,216.30x = 241,036,679,697.69
  5. Step 5: Solve for x
    x = 241,036,679,697.69/564,216.30
  6. Step 6: Final answer
    x = 427,206.16

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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.