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Finding the Fourth Proportional to 265,870.40, 398,668.80 and 78,857.60

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Solution

The fourth proportional to 265,870.40, 398,668.80 and 78,857.60 is: 118,245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,870.40 : 398,668.80 = 78,857.60 : x
  2. Step 2: Convert to fraction form
    265,870.40/398,668.80 = 78,857.60/x
  3. Step 3: Cross multiply
    265,870.40x = 398,668.80 × 78,857.60
  4. Step 4: Simplify right side
    265,870.40x = 31,438,064,762.88
  5. Step 5: Solve for x
    x = 31,438,064,762.88/265,870.40
  6. Step 6: Final answer
    x = 118,245.82

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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.