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Finding the Fourth Proportional to 369,305.91, 553,959 and 285,189.03

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Solution

The fourth proportional to 369,305.91, 553,959 and 285,189.03 is: 427,783.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,305.91 : 553,959 = 285,189.03 : x
  2. Step 2: Convert to fraction form
    369,305.91/553,959 = 285,189.03/x
  3. Step 3: Cross multiply
    369,305.91x = 553,959 × 285,189.03
  4. Step 4: Simplify right side
    369,305.91x = 157,983,029,869.77
  5. Step 5: Solve for x
    x = 157,983,029,869.77/369,305.91
  6. Step 6: Final answer
    x = 427,783.65

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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.