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Finding the Fourth Proportional to 387,782.40, 581,686.56 and 107,276.16

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Solution

The fourth proportional to 387,782.40, 581,686.56 and 107,276.16 is: 160,917.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,782.40 : 581,686.56 = 107,276.16 : x
  2. Step 2: Convert to fraction form
    387,782.40/581,686.56 = 107,276.16/x
  3. Step 3: Cross multiply
    387,782.40x = 581,686.56 × 107,276.16
  4. Step 4: Simplify right side
    387,782.40x = 62,401,100,480.41
  5. Step 5: Solve for x
    x = 62,401,100,480.41/387,782.40
  6. Step 6: Final answer
    x = 160,917.83

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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.