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Finding the Fourth Proportional to 395,207.13, 592,905 and 128,968.14

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Solution

The fourth proportional to 395,207.13, 592,905 and 128,968.14 is: 193,482.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,207.13 : 592,905 = 128,968.14 : x
  2. Step 2: Convert to fraction form
    395,207.13/592,905 = 128,968.14/x
  3. Step 3: Cross multiply
    395,207.13x = 592,905 × 128,968.14
  4. Step 4: Simplify right side
    395,207.13x = 76,465,855,046.70
  5. Step 5: Solve for x
    x = 76,465,855,046.70/395,207.13
  6. Step 6: Final answer
    x = 193,482.98

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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.