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Finding the Fourth Proportional to 288,628.80, 432,651.60 and 130,970.40

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Solution

The fourth proportional to 288,628.80, 432,651.60 and 130,970.40 is: 196,323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,628.80 : 432,651.60 = 130,970.40 : x
  2. Step 2: Convert to fraction form
    288,628.80/432,651.60 = 130,970.40/x
  3. Step 3: Cross multiply
    288,628.80x = 432,651.60 × 130,970.40
  4. Step 4: Simplify right side
    288,628.80x = 56,664,553,112.64
  5. Step 5: Solve for x
    x = 56,664,553,112.64/288,628.80
  6. Step 6: Final answer
    x = 196,323.28

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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.