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Finding the Fourth Proportional to 487,280.40, 730,920.60 and 171,769.20

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Solution

The fourth proportional to 487,280.40, 730,920.60 and 171,769.20 is: 257,653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,280.40 : 730,920.60 = 171,769.20 : x
  2. Step 2: Convert to fraction form
    487,280.40/730,920.60 = 171,769.20/x
  3. Step 3: Cross multiply
    487,280.40x = 730,920.60 × 171,769.20
  4. Step 4: Simplify right side
    487,280.40x = 125,549,646,725.52
  5. Step 5: Solve for x
    x = 125,549,646,725.52/487,280.40
  6. Step 6: Final answer
    x = 257,653.80

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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.