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Finding the Fourth Proportional to 564,138.66, 778,580.22 and 322,431.42

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Solution

The fourth proportional to 564,138.66, 778,580.22 and 322,431.42 is: 444,994.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,138.66 : 778,580.22 = 322,431.42 : x
  2. Step 2: Convert to fraction form
    564,138.66/778,580.22 = 322,431.42/x
  3. Step 3: Cross multiply
    564,138.66x = 778,580.22 × 322,431.42
  4. Step 4: Simplify right side
    564,138.66x = 251,038,725,918.51
  5. Step 5: Solve for x
    x = 251,038,725,918.51/564,138.66
  6. Step 6: Final answer
    x = 444,994.72

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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.