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Finding the Fourth Proportional to 338,978.40, 508,467.60 and 260,246.40

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Solution

The fourth proportional to 338,978.40, 508,467.60 and 260,246.40 is: 390,369.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,978.40 : 508,467.60 = 260,246.40 : x
  2. Step 2: Convert to fraction form
    338,978.40/508,467.60 = 260,246.40/x
  3. Step 3: Cross multiply
    338,978.40x = 508,467.60 × 260,246.40
  4. Step 4: Simplify right side
    338,978.40x = 132,326,862,416.64
  5. Step 5: Solve for x
    x = 132,326,862,416.64/338,978.40
  6. Step 6: Final answer
    x = 390,369.60

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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.