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Finding the Fourth Proportional to 292,820.40, 439,230.60 and 257,828.40

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Solution

The fourth proportional to 292,820.40, 439,230.60 and 257,828.40 is: 386,742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,820.40 : 439,230.60 = 257,828.40 : x
  2. Step 2: Convert to fraction form
    292,820.40/439,230.60 = 257,828.40/x
  3. Step 3: Cross multiply
    292,820.40x = 439,230.60 × 257,828.40
  4. Step 4: Simplify right side
    292,820.40x = 113,246,122,829.04
  5. Step 5: Solve for x
    x = 113,246,122,829.04/292,820.40
  6. Step 6: Final answer
    x = 386,742.60

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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.