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Finding the Fourth Proportional to 395,089.44, 592,670.16 and 128,781.60

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Solution

The fourth proportional to 395,089.44, 592,670.16 and 128,781.60 is: 193,184.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,089.44 : 592,670.16 = 128,781.60 : x
  2. Step 2: Convert to fraction form
    395,089.44/592,670.16 = 128,781.60/x
  3. Step 3: Cross multiply
    395,089.44x = 592,670.16 × 128,781.60
  4. Step 4: Simplify right side
    395,089.44x = 76,325,011,477.06
  5. Step 5: Solve for x
    x = 76,325,011,477.06/395,089.44
  6. Step 6: Final answer
    x = 193,184.13

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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.