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Finding the Fourth Proportional to 354,865.60, 532,298.40 and 284,881.60

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Solution

The fourth proportional to 354,865.60, 532,298.40 and 284,881.60 is: 427,322.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,865.60 : 532,298.40 = 284,881.60 : x
  2. Step 2: Convert to fraction form
    354,865.60/532,298.40 = 284,881.60/x
  3. Step 3: Cross multiply
    354,865.60x = 532,298.40 × 284,881.60
  4. Step 4: Simplify right side
    354,865.60x = 151,642,019,869.44
  5. Step 5: Solve for x
    x = 151,642,019,869.44/354,865.60
  6. Step 6: Final answer
    x = 427,322.40

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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.