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Finding the Fourth Proportional to 255,999.90, 383,999.85 and 78,534.30

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Solution

The fourth proportional to 255,999.90, 383,999.85 and 78,534.30 is: 117,801.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,999.90 : 383,999.85 = 78,534.30 : x
  2. Step 2: Convert to fraction form
    255,999.90/383,999.85 = 78,534.30/x
  3. Step 3: Cross multiply
    255,999.90x = 383,999.85 × 78,534.30
  4. Step 4: Simplify right side
    255,999.90x = 30,157,159,419.86
  5. Step 5: Solve for x
    x = 30,157,159,419.86/255,999.90
  6. Step 6: Final answer
    x = 117,801.45

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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.