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Finding the Fourth Proportional to 577,830.60, 866,810.70 and 178,468.20

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Solution

The fourth proportional to 577,830.60, 866,810.70 and 178,468.20 is: 267,722.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,830.60 : 866,810.70 = 178,468.20 : x
  2. Step 2: Convert to fraction form
    577,830.60/866,810.70 = 178,468.20/x
  3. Step 3: Cross multiply
    577,830.60x = 866,810.70 × 178,468.20
  4. Step 4: Simplify right side
    577,830.60x = 154,698,145,369.74
  5. Step 5: Solve for x
    x = 154,698,145,369.74/577,830.60
  6. Step 6: Final answer
    x = 267,722.31

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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.