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Finding the Fourth Proportional to 293,135.60, 439,703.40 and 256,977.20

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Solution

The fourth proportional to 293,135.60, 439,703.40 and 256,977.20 is: 385,465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,135.60 : 439,703.40 = 256,977.20 : x
  2. Step 2: Convert to fraction form
    293,135.60/439,703.40 = 256,977.20/x
  3. Step 3: Cross multiply
    293,135.60x = 439,703.40 × 256,977.20
  4. Step 4: Simplify right side
    293,135.60x = 112,993,748,562.48
  5. Step 5: Solve for x
    x = 112,993,748,562.48/293,135.60
  6. Step 6: Final answer
    x = 385,465.80

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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.