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Finding the Fourth Proportional to 489,435.77, 734,011.65 and 205,118.89

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Solution

The fourth proportional to 489,435.77, 734,011.65 and 205,118.89 is: 307,618.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,435.77 : 734,011.65 = 205,118.89 : x
  2. Step 2: Convert to fraction form
    489,435.77/734,011.65 = 205,118.89/x
  3. Step 3: Cross multiply
    489,435.77x = 734,011.65 × 205,118.89
  4. Step 4: Simplify right side
    489,435.77x = 150,559,653,060.04
  5. Step 5: Solve for x
    x = 150,559,653,060.04/489,435.77
  6. Step 6: Final answer
    x = 307,618.82

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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.