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Finding the Fourth Proportional to 288,904.80, 399,085.20 and 262,077.60

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Solution

The fourth proportional to 288,904.80, 399,085.20 and 262,077.60 is: 362,026.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,904.80 : 399,085.20 = 262,077.60 : x
  2. Step 2: Convert to fraction form
    288,904.80/399,085.20 = 262,077.60/x
  3. Step 3: Cross multiply
    288,904.80x = 399,085.20 × 262,077.60
  4. Step 4: Simplify right side
    288,904.80x = 104,591,291,411.52
  5. Step 5: Solve for x
    x = 104,591,291,411.52/288,904.80
  6. Step 6: Final answer
    x = 362,026.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.