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Finding the Fourth Proportional to 265,814.40, 398,798.40 and 78,830.40

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Solution

The fourth proportional to 265,814.40, 398,798.40 and 78,830.40 is: 118,268.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,814.40 : 398,798.40 = 78,830.40 : x
  2. Step 2: Convert to fraction form
    265,814.40/398,798.40 = 78,830.40/x
  3. Step 3: Cross multiply
    265,814.40x = 398,798.40 × 78,830.40
  4. Step 4: Simplify right side
    265,814.40x = 31,437,437,391.36
  5. Step 5: Solve for x
    x = 31,437,437,391.36/265,814.40
  6. Step 6: Final answer
    x = 118,268.38

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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.