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Finding the Fourth Proportional to 255,809.55, 383,980.47 and 188,417.69

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Solution

The fourth proportional to 255,809.55, 383,980.47 and 188,417.69 is: 282,822.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,809.55 : 383,980.47 = 188,417.69 : x
  2. Step 2: Convert to fraction form
    255,809.55/383,980.47 = 188,417.69/x
  3. Step 3: Cross multiply
    255,809.55x = 383,980.47 × 188,417.69
  4. Step 4: Simplify right side
    255,809.55x = 72,348,711,242.61
  5. Step 5: Solve for x
    x = 72,348,711,242.61/255,809.55
  6. Step 6: Final answer
    x = 282,822.56

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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.