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Finding the Fourth Proportional to 723,134.10, 997,820.16 and 400,844

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Solution

The fourth proportional to 723,134.10, 997,820.16 and 400,844 is: 553,106.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,134.10 : 997,820.16 = 400,844 : x
  2. Step 2: Convert to fraction form
    723,134.10/997,820.16 = 400,844/x
  3. Step 3: Cross multiply
    723,134.10x = 997,820.16 × 400,844
  4. Step 4: Simplify right side
    723,134.10x = 399,970,224,215.04
  5. Step 5: Solve for x
    x = 399,970,224,215.04/723,134.10
  6. Step 6: Final answer
    x = 553,106.57

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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.