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Finding the Fourth Proportional to 826,509, 1,140,491.16 and 463,849.68

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Solution

The fourth proportional to 826,509, 1,140,491.16 and 463,849.68 is: 640,061.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,509 : 1,140,491.16 = 463,849.68 : x
  2. Step 2: Convert to fraction form
    826,509/1,140,491.16 = 463,849.68/x
  3. Step 3: Cross multiply
    826,509x = 1,140,491.16 × 463,849.68
  4. Step 4: Simplify right side
    826,509x = 529,016,459,608.83
  5. Step 5: Solve for x
    x = 529,016,459,608.83/826,509
  6. Step 6: Final answer
    x = 640,061.34

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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.