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Finding the Fourth Proportional to 254,509, 381,182.12 and 121,482.90

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Solution

The fourth proportional to 254,509, 381,182.12 and 121,482.90 is: 181,946.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,509 : 381,182.12 = 121,482.90 : x
  2. Step 2: Convert to fraction form
    254,509/381,182.12 = 121,482.90/x
  3. Step 3: Cross multiply
    254,509x = 381,182.12 × 121,482.90
  4. Step 4: Simplify right side
    254,509x = 46,307,109,365.75
  5. Step 5: Solve for x
    x = 46,307,109,365.75/254,509
  6. Step 6: Final answer
    x = 181,946.84

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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.