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Finding the Fourth Proportional to 402,296.60, 603,444.90 and 121,827.80

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Solution

The fourth proportional to 402,296.60, 603,444.90 and 121,827.80 is: 182,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,296.60 : 603,444.90 = 121,827.80 : x
  2. Step 2: Convert to fraction form
    402,296.60/603,444.90 = 121,827.80/x
  3. Step 3: Cross multiply
    402,296.60x = 603,444.90 × 121,827.80
  4. Step 4: Simplify right side
    402,296.60x = 73,516,364,588.22
  5. Step 5: Solve for x
    x = 73,516,364,588.22/402,296.60
  6. Step 6: Final answer
    x = 182,741.70

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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.