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Finding the Fourth Proportional to 387,674.60, 581,684.70 and 177,204.20

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Solution

The fourth proportional to 387,674.60, 581,684.70 and 177,204.20 is: 265,885.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,674.60 : 581,684.70 = 177,204.20 : x
  2. Step 2: Convert to fraction form
    387,674.60/581,684.70 = 177,204.20/x
  3. Step 3: Cross multiply
    387,674.60x = 581,684.70 × 177,204.20
  4. Step 4: Simplify right side
    387,674.60x = 103,076,971,915.74
  5. Step 5: Solve for x
    x = 103,076,971,915.74/387,674.60
  6. Step 6: Final answer
    x = 265,885.29

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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.