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Finding the Fourth Proportional to 465,507, 698,301 and 128,548.08

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Solution

The fourth proportional to 465,507, 698,301 and 128,548.08 is: 192,833.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,507 : 698,301 = 128,548.08 : x
  2. Step 2: Convert to fraction form
    465,507/698,301 = 128,548.08/x
  3. Step 3: Cross multiply
    465,507x = 698,301 × 128,548.08
  4. Step 4: Simplify right side
    465,507x = 89,765,252,812.08
  5. Step 5: Solve for x
    x = 89,765,252,812.08/465,507
  6. Step 6: Final answer
    x = 192,833.30

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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.