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Finding the Fourth Proportional to 480,420.48, 720,641.52 and 164,880

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Solution

The fourth proportional to 480,420.48, 720,641.52 and 164,880 is: 247,323.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,420.48 : 720,641.52 = 164,880 : x
  2. Step 2: Convert to fraction form
    480,420.48/720,641.52 = 164,880/x
  3. Step 3: Cross multiply
    480,420.48x = 720,641.52 × 164,880
  4. Step 4: Simplify right side
    480,420.48x = 118,819,373,817.60
  5. Step 5: Solve for x
    x = 118,819,373,817.60/480,420.48
  6. Step 6: Final answer
    x = 247,323.71

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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.