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Finding the Fourth Proportional to 264,051.20, 395,785.20 and 145,807.40

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Solution

The fourth proportional to 264,051.20, 395,785.20 and 145,807.40 is: 218,550.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,051.20 : 395,785.20 = 145,807.40 : x
  2. Step 2: Convert to fraction form
    264,051.20/395,785.20 = 145,807.40/x
  3. Step 3: Cross multiply
    264,051.20x = 395,785.20 × 145,807.40
  4. Step 4: Simplify right side
    264,051.20x = 57,708,410,970.48
  5. Step 5: Solve for x
    x = 57,708,410,970.48/264,051.20
  6. Step 6: Final answer
    x = 218,550.08

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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.