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Finding the Fourth Proportional to 368,653.92, 553,020.36 and 102,415.20

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Solution

The fourth proportional to 368,653.92, 553,020.36 and 102,415.20 is: 153,633.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,653.92 : 553,020.36 = 102,415.20 : x
  2. Step 2: Convert to fraction form
    368,653.92/553,020.36 = 102,415.20/x
  3. Step 3: Cross multiply
    368,653.92x = 553,020.36 × 102,415.20
  4. Step 4: Simplify right side
    368,653.92x = 56,637,687,496.29
  5. Step 5: Solve for x
    x = 56,637,687,496.29/368,653.92
  6. Step 6: Final answer
    x = 153,633.76

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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.