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Finding the Fourth Proportional to 591,712, 816,562.56 and 323,440

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Solution

The fourth proportional to 591,712, 816,562.56 and 323,440 is: 446,347.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,712 : 816,562.56 = 323,440 : x
  2. Step 2: Convert to fraction form
    591,712/816,562.56 = 323,440/x
  3. Step 3: Cross multiply
    591,712x = 816,562.56 × 323,440
  4. Step 4: Simplify right side
    591,712x = 264,108,994,406.40
  5. Step 5: Solve for x
    x = 264,108,994,406.40/591,712
  6. Step 6: Final answer
    x = 446,347.20

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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.