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Finding the Fourth Proportional to 489,730.38, 734,509.53 and 134,658.78

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Solution

The fourth proportional to 489,730.38, 734,509.53 and 134,658.78 is: 201,964.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,730.38 : 734,509.53 = 134,658.78 : x
  2. Step 2: Convert to fraction form
    489,730.38/734,509.53 = 134,658.78/x
  3. Step 3: Cross multiply
    489,730.38x = 734,509.53 × 134,658.78
  4. Step 4: Simplify right side
    489,730.38x = 98,908,157,208.17
  5. Step 5: Solve for x
    x = 98,908,157,208.17/489,730.38
  6. Step 6: Final answer
    x = 201,964.51

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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.