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Finding the Fourth Proportional to 338,782.16, 508,170.85 and 86,063.38

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Solution

The fourth proportional to 338,782.16, 508,170.85 and 86,063.38 is: 129,094.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,782.16 : 508,170.85 = 86,063.38 : x
  2. Step 2: Convert to fraction form
    338,782.16/508,170.85 = 86,063.38/x
  3. Step 3: Cross multiply
    338,782.16x = 508,170.85 × 86,063.38
  4. Step 4: Simplify right side
    338,782.16x = 43,734,899,482.89
  5. Step 5: Solve for x
    x = 43,734,899,482.89/338,782.16
  6. Step 6: Final answer
    x = 129,094.46

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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.