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Finding the Fourth Proportional to 823,424, 1,136,355.84 and 465,720.32

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Solution

The fourth proportional to 823,424, 1,136,355.84 and 465,720.32 is: 642,711.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,424 : 1,136,355.84 = 465,720.32 : x
  2. Step 2: Convert to fraction form
    823,424/1,136,355.84 = 465,720.32/x
  3. Step 3: Cross multiply
    823,424x = 1,136,355.84 × 465,720.32
  4. Step 4: Simplify right side
    823,424x = 529,224,005,438.67
  5. Step 5: Solve for x
    x = 529,224,005,438.67/823,424
  6. Step 6: Final answer
    x = 642,711.42

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1.5x scale

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.