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Finding the Fourth Proportional to 913,144, 1,260,143.04 and 510,736

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Solution

The fourth proportional to 913,144, 1,260,143.04 and 510,736 is: 704,818.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,144 : 1,260,143.04 = 510,736 : x
  2. Step 2: Convert to fraction form
    913,144/1,260,143.04 = 510,736/x
  3. Step 3: Cross multiply
    913,144x = 1,260,143.04 × 510,736
  4. Step 4: Simplify right side
    913,144x = 643,600,415,677.44
  5. Step 5: Solve for x
    x = 643,600,415,677.44/913,144
  6. Step 6: Final answer
    x = 704,818.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.