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Finding the Fourth Proportional to 465,881.49, 698,837.76 and 128,893.90

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Solution

The fourth proportional to 465,881.49, 698,837.76 and 128,893.90 is: 193,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,881.49 : 698,837.76 = 128,893.90 : x
  2. Step 2: Convert to fraction form
    465,881.49/698,837.76 = 128,893.90/x
  3. Step 3: Cross multiply
    465,881.49x = 698,837.76 × 128,893.90
  4. Step 4: Simplify right side
    465,881.49x = 90,075,924,353.66
  5. Step 5: Solve for x
    x = 90,075,924,353.66/465,881.49
  6. Step 6: Final answer
    x = 193,345.15

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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.