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Finding the Fourth Proportional to 510,460.13, 765,662.25 and 155,444.42

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Solution

The fourth proportional to 510,460.13, 765,662.25 and 155,444.42 is: 233,158.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,460.13 : 765,662.25 = 155,444.42 : x
  2. Step 2: Convert to fraction form
    510,460.13/765,662.25 = 155,444.42/x
  3. Step 3: Cross multiply
    510,460.13x = 765,662.25 × 155,444.42
  4. Step 4: Simplify right side
    510,460.13x = 119,017,926,864.22
  5. Step 5: Solve for x
    x = 119,017,926,864.22/510,460.13
  6. Step 6: Final answer
    x = 233,158.12

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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.