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Finding the Fourth Proportional to 254,988.16, 382,560 and 130,416.64

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Solution

The fourth proportional to 254,988.16, 382,560 and 130,416.64 is: 195,664.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,988.16 : 382,560 = 130,416.64 : x
  2. Step 2: Convert to fraction form
    254,988.16/382,560 = 130,416.64/x
  3. Step 3: Cross multiply
    254,988.16x = 382,560 × 130,416.64
  4. Step 4: Simplify right side
    254,988.16x = 49,892,189,798.40
  5. Step 5: Solve for x
    x = 49,892,189,798.40/254,988.16
  6. Step 6: Final answer
    x = 195,664.73

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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.