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Finding the Fourth Proportional to 564,095.78, 778,447.64 and 305,972.07

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Solution

The fourth proportional to 564,095.78, 778,447.64 and 305,972.07 is: 422,239.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,095.78 : 778,447.64 = 305,972.07 : x
  2. Step 2: Convert to fraction form
    564,095.78/778,447.64 = 305,972.07/x
  3. Step 3: Cross multiply
    564,095.78x = 778,447.64 × 305,972.07
  4. Step 4: Simplify right side
    564,095.78x = 238,183,235,797.42
  5. Step 5: Solve for x
    x = 238,183,235,797.42/564,095.78
  6. Step 6: Final answer
    x = 422,239.00

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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.