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Finding the Fourth Proportional to 255,004.60, 381,729.30 and 149,510.20

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Solution

The fourth proportional to 255,004.60, 381,729.30 and 149,510.20 is: 223,809.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,004.60 : 381,729.30 = 149,510.20 : x
  2. Step 2: Convert to fraction form
    255,004.60/381,729.30 = 149,510.20/x
  3. Step 3: Cross multiply
    255,004.60x = 381,729.30 × 149,510.20
  4. Step 4: Simplify right side
    255,004.60x = 57,072,423,988.86
  5. Step 5: Solve for x
    x = 57,072,423,988.86/255,004.60
  6. Step 6: Final answer
    x = 223,809.39

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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.