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Finding the Fourth Proportional to 338,498.61, 507,746.99 and 85,778.37

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Solution

The fourth proportional to 338,498.61, 507,746.99 and 85,778.37 is: 128,667.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,498.61 : 507,746.99 = 85,778.37 : x
  2. Step 2: Convert to fraction form
    338,498.61/507,746.99 = 85,778.37/x
  3. Step 3: Cross multiply
    338,498.61x = 507,746.99 × 85,778.37
  4. Step 4: Simplify right side
    338,498.61x = 43,553,708,745.71
  5. Step 5: Solve for x
    x = 43,553,708,745.71/338,498.61
  6. Step 6: Final answer
    x = 128,667.32

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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.