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Finding the Fourth Proportional to 338,585.40, 507,907.80 and 113,865.48

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Solution

The fourth proportional to 338,585.40, 507,907.80 and 113,865.48 is: 170,808.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,585.40 : 507,907.80 = 113,865.48 : x
  2. Step 2: Convert to fraction form
    338,585.40/507,907.80 = 113,865.48/x
  3. Step 3: Cross multiply
    338,585.40x = 507,907.80 × 113,865.48
  4. Step 4: Simplify right side
    338,585.40x = 57,833,165,442.74
  5. Step 5: Solve for x
    x = 57,833,165,442.74/338,585.40
  6. Step 6: Final answer
    x = 170,808.21

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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.