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Finding the Fourth Proportional to 438,005.70, 657,008.55 and 396,015.30

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Solution

The fourth proportional to 438,005.70, 657,008.55 and 396,015.30 is: 594,022.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,005.70 : 657,008.55 = 396,015.30 : x
  2. Step 2: Convert to fraction form
    438,005.70/657,008.55 = 396,015.30/x
  3. Step 3: Cross multiply
    438,005.70x = 657,008.55 × 396,015.30
  4. Step 4: Simplify right side
    438,005.70x = 260,185,438,030.82
  5. Step 5: Solve for x
    x = 260,185,438,030.82/438,005.70
  6. Step 6: Final answer
    x = 594,022.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.