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Finding the Fourth Proportional to 303,943.60, 455,259.30 and 197,655.40

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Solution

The fourth proportional to 303,943.60, 455,259.30 and 197,655.40 is: 296,056.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,943.60 : 455,259.30 = 197,655.40 : x
  2. Step 2: Convert to fraction form
    303,943.60/455,259.30 = 197,655.40/x
  3. Step 3: Cross multiply
    303,943.60x = 455,259.30 × 197,655.40
  4. Step 4: Simplify right side
    303,943.60x = 89,984,459,045.22
  5. Step 5: Solve for x
    x = 89,984,459,045.22/303,943.60
  6. Step 6: Final answer
    x = 296,056.44

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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.