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Finding the Fourth Proportional to 402,784.80, 604,138.08 and 122,304.48

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Solution

The fourth proportional to 402,784.80, 604,138.08 and 122,304.48 is: 183,444.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,784.80 : 604,138.08 = 122,304.48 : x
  2. Step 2: Convert to fraction form
    402,784.80/604,138.08 = 122,304.48/x
  3. Step 3: Cross multiply
    402,784.80x = 604,138.08 × 122,304.48
  4. Step 4: Simplify right side
    402,784.80x = 73,888,793,722.60
  5. Step 5: Solve for x
    x = 73,888,793,722.60/402,784.80
  6. Step 6: Final answer
    x = 183,444.84

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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.