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Finding the Fourth Proportional to 288,735, 433,095.20 and 78,367.48

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Solution

The fourth proportional to 288,735, 433,095.20 and 78,367.48 is: 117,549.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,735 : 433,095.20 = 78,367.48 : x
  2. Step 2: Convert to fraction form
    288,735/433,095.20 = 78,367.48/x
  3. Step 3: Cross multiply
    288,735x = 433,095.20 × 78,367.48
  4. Step 4: Simplify right side
    288,735x = 33,940,579,424.10
  5. Step 5: Solve for x
    x = 33,940,579,424.10/288,735
  6. Step 6: Final answer
    x = 117,549.24

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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.