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Finding the Fourth Proportional to 338,864.30, 507,994.42 and 128,649.86

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Solution

The fourth proportional to 338,864.30, 507,994.42 and 128,649.86 is: 192,860.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,864.30 : 507,994.42 = 128,649.86 : x
  2. Step 2: Convert to fraction form
    338,864.30/507,994.42 = 128,649.86/x
  3. Step 3: Cross multiply
    338,864.30x = 507,994.42 × 128,649.86
  4. Step 4: Simplify right side
    338,864.30x = 65,353,411,013.78
  5. Step 5: Solve for x
    x = 65,353,411,013.78/338,864.30
  6. Step 6: Final answer
    x = 192,860.12

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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.