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Finding the Fourth Proportional to 510,013.64, 765,011.82 and 177,581

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Solution

The fourth proportional to 510,013.64, 765,011.82 and 177,581 is: 266,368.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,013.64 : 765,011.82 = 177,581 : x
  2. Step 2: Convert to fraction form
    510,013.64/765,011.82 = 177,581/x
  3. Step 3: Cross multiply
    510,013.64x = 765,011.82 × 177,581
  4. Step 4: Simplify right side
    510,013.64x = 135,851,564,007.42
  5. Step 5: Solve for x
    x = 135,851,564,007.42/510,013.64
  6. Step 6: Final answer
    x = 266,368.49

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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.