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Finding the Fourth Proportional to 489,320.94, 734,048.12 and 284,251.94

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Solution

The fourth proportional to 489,320.94, 734,048.12 and 284,251.94 is: 426,416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,320.94 : 734,048.12 = 284,251.94 : x
  2. Step 2: Convert to fraction form
    489,320.94/734,048.12 = 284,251.94/x
  3. Step 3: Cross multiply
    489,320.94x = 734,048.12 × 284,251.94
  4. Step 4: Simplify right side
    489,320.94x = 208,654,602,163.35
  5. Step 5: Solve for x
    x = 208,654,602,163.35/489,320.94
  6. Step 6: Final answer
    x = 426,416.66

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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.