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Finding the Fourth Proportional to 257,809.99, 355,820.54 and 150,380.04

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Solution

The fourth proportional to 257,809.99, 355,820.54 and 150,380.04 is: 207,549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,809.99 : 355,820.54 = 150,380.04 : x
  2. Step 2: Convert to fraction form
    257,809.99/355,820.54 = 150,380.04/x
  3. Step 3: Cross multiply
    257,809.99x = 355,820.54 × 150,380.04
  4. Step 4: Simplify right side
    257,809.99x = 53,508,307,038.02
  5. Step 5: Solve for x
    x = 53,508,307,038.02/257,809.99
  6. Step 6: Final answer
    x = 207,549.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.