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Finding the Fourth Proportional to 564,948.62, 779,639.34 and 306,825.51

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Solution

The fourth proportional to 564,948.62, 779,639.34 and 306,825.51 is: 423,424.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,948.62 : 779,639.34 = 306,825.51 : x
  2. Step 2: Convert to fraction form
    564,948.62/779,639.34 = 306,825.51/x
  3. Step 3: Cross multiply
    564,948.62x = 779,639.34 × 306,825.51
  4. Step 4: Simplify right side
    564,948.62x = 239,213,238,111.56
  5. Step 5: Solve for x
    x = 239,213,238,111.56/564,948.62
  6. Step 6: Final answer
    x = 423,424.77

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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.