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Finding the Fourth Proportional to 510,412.85, 765,560.95 and 136,465.01

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Solution

The fourth proportional to 510,412.85, 765,560.95 and 136,465.01 is: 204,681.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,412.85 : 765,560.95 = 136,465.01 : x
  2. Step 2: Convert to fraction form
    510,412.85/765,560.95 = 136,465.01/x
  3. Step 3: Cross multiply
    510,412.85x = 765,560.95 × 136,465.01
  4. Step 4: Simplify right side
    510,412.85x = 104,472,282,697.36
  5. Step 5: Solve for x
    x = 104,472,282,697.36/510,412.85
  6. Step 6: Final answer
    x = 204,681.92

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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.