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Finding the Fourth Proportional to 255,699.63, 383,487.93 and 78,208.20

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Solution

The fourth proportional to 255,699.63, 383,487.93 and 78,208.20 is: 117,293.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,699.63 : 383,487.93 = 78,208.20 : x
  2. Step 2: Convert to fraction form
    255,699.63/383,487.93 = 78,208.20/x
  3. Step 3: Cross multiply
    255,699.63x = 383,487.93 × 78,208.20
  4. Step 4: Simplify right side
    255,699.63x = 29,991,900,727.03
  5. Step 5: Solve for x
    x = 29,991,900,727.03/255,699.63
  6. Step 6: Final answer
    x = 117,293.49

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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.