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Finding the Fourth Proportional to 510,433.56, 765,681.84 and 155,473.68

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Solution

The fourth proportional to 510,433.56, 765,681.84 and 155,473.68 is: 233,220.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,433.56 : 765,681.84 = 155,473.68 : x
  2. Step 2: Convert to fraction form
    510,433.56/765,681.84 = 155,473.68/x
  3. Step 3: Cross multiply
    510,433.56x = 765,681.84 × 155,473.68
  4. Step 4: Simplify right side
    510,433.56x = 119,043,373,373.97
  5. Step 5: Solve for x
    x = 119,043,373,373.97/510,433.56
  6. Step 6: Final answer
    x = 233,220.11

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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.