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Finding the Fourth Proportional to 292,805.40, 439,208.10 and 257,813.40

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Solution

The fourth proportional to 292,805.40, 439,208.10 and 257,813.40 is: 386,720.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,805.40 : 439,208.10 = 257,813.40 : x
  2. Step 2: Convert to fraction form
    292,805.40/439,208.10 = 257,813.40/x
  3. Step 3: Cross multiply
    292,805.40x = 439,208.10 × 257,813.40
  4. Step 4: Simplify right side
    292,805.40x = 113,233,733,568.54
  5. Step 5: Solve for x
    x = 113,233,733,568.54/292,805.40
  6. Step 6: Final answer
    x = 386,720.10

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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.