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Finding the Fourth Proportional to 288,295.20, 432,442.80 and 188,762.40

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Solution

The fourth proportional to 288,295.20, 432,442.80 and 188,762.40 is: 283,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,295.20 : 432,442.80 = 188,762.40 : x
  2. Step 2: Convert to fraction form
    288,295.20/432,442.80 = 188,762.40/x
  3. Step 3: Cross multiply
    288,295.20x = 432,442.80 × 188,762.40
  4. Step 4: Simplify right side
    288,295.20x = 81,628,940,790.72
  5. Step 5: Solve for x
    x = 81,628,940,790.72/288,295.20
  6. Step 6: Final answer
    x = 283,143.60

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1.5x scale

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.