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Finding the Fourth Proportional to 489,312.38, 734,074.14 and 147,727.46

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Solution

The fourth proportional to 489,312.38, 734,074.14 and 147,727.46 is: 221,623.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,312.38 : 734,074.14 = 147,727.46 : x
  2. Step 2: Convert to fraction form
    489,312.38/734,074.14 = 147,727.46/x
  3. Step 3: Cross multiply
    489,312.38x = 734,074.14 × 147,727.46
  4. Step 4: Simplify right side
    489,312.38x = 108,442,904,483.51
  5. Step 5: Solve for x
    x = 108,442,904,483.51/489,312.38
  6. Step 6: Final answer
    x = 221,623.06

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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.