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Finding the Fourth Proportional to 489,820.50, 734,509.08 and 174,285.72

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Solution

The fourth proportional to 489,820.50, 734,509.08 and 174,285.72 is: 261,349.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,820.50 : 734,509.08 = 174,285.72 : x
  2. Step 2: Convert to fraction form
    489,820.50/734,509.08 = 174,285.72/x
  3. Step 3: Cross multiply
    489,820.50x = 734,509.08 × 174,285.72
  4. Step 4: Simplify right side
    489,820.50x = 128,014,443,854.34
  5. Step 5: Solve for x
    x = 128,014,443,854.34/489,820.50
  6. Step 6: Final answer
    x = 261,349.71

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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.