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Finding the Fourth Proportional to 465,347.70, 698,021.55 and 288,200.70

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Solution

The fourth proportional to 465,347.70, 698,021.55 and 288,200.70 is: 432,301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,347.70 : 698,021.55 = 288,200.70 : x
  2. Step 2: Convert to fraction form
    465,347.70/698,021.55 = 288,200.70/x
  3. Step 3: Cross multiply
    465,347.70x = 698,021.55 × 288,200.70
  4. Step 4: Simplify right side
    465,347.70x = 201,170,299,325.09
  5. Step 5: Solve for x
    x = 201,170,299,325.09/465,347.70
  6. Step 6: Final answer
    x = 432,301.05

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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.