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Finding the Fourth Proportional to 387,828.80, 582,002.40 and 177,358.40

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Solution

The fourth proportional to 387,828.80, 582,002.40 and 177,358.40 is: 266,156.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,828.80 : 582,002.40 = 177,358.40 : x
  2. Step 2: Convert to fraction form
    387,828.80/582,002.40 = 177,358.40/x
  3. Step 3: Cross multiply
    387,828.80x = 582,002.40 × 177,358.40
  4. Step 4: Simplify right side
    387,828.80x = 103,223,014,460.16
  5. Step 5: Solve for x
    x = 103,223,014,460.16/387,828.80
  6. Step 6: Final answer
    x = 266,156.14

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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.