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Finding the Fourth Proportional to 338,497.11, 507,744.74 and 85,776.86

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Solution

The fourth proportional to 338,497.11, 507,744.74 and 85,776.86 is: 128,665.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,497.11 : 507,744.74 = 85,776.86 : x
  2. Step 2: Convert to fraction form
    338,497.11/507,744.74 = 85,776.86/x
  3. Step 3: Cross multiply
    338,497.11x = 507,744.74 × 85,776.86
  4. Step 4: Simplify right side
    338,497.11x = 43,552,750,962.52
  5. Step 5: Solve for x
    x = 43,552,750,962.52/338,497.11
  6. Step 6: Final answer
    x = 128,665.06

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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.