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Finding the Fourth Proportional to 705,029.49, 972,838.03 and 403,165.17

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Solution

The fourth proportional to 705,029.49, 972,838.03 and 403,165.17 is: 556,309.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,029.49 : 972,838.03 = 403,165.17 : x
  2. Step 2: Convert to fraction form
    705,029.49/972,838.03 = 403,165.17/x
  3. Step 3: Cross multiply
    705,029.49x = 972,838.03 × 403,165.17
  4. Step 4: Simplify right side
    705,029.49x = 392,214,409,747.42
  5. Step 5: Solve for x
    x = 392,214,409,747.42/705,029.49
  6. Step 6: Final answer
    x = 556,309.23

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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.