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Finding the Fourth Proportional to 255,700.80, 383,551.20 and 148,975.20

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Solution

The fourth proportional to 255,700.80, 383,551.20 and 148,975.20 is: 223,462.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,700.80 : 383,551.20 = 148,975.20 : x
  2. Step 2: Convert to fraction form
    255,700.80/383,551.20 = 148,975.20/x
  3. Step 3: Cross multiply
    255,700.80x = 383,551.20 × 148,975.20
  4. Step 4: Simplify right side
    255,700.80x = 57,139,616,730.24
  5. Step 5: Solve for x
    x = 57,139,616,730.24/255,700.80
  6. Step 6: Final answer
    x = 223,462.80

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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.