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Finding the Fourth Proportional to 831,588, 1,147,594.64 and 464,080.80

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Solution

The fourth proportional to 831,588, 1,147,594.64 and 464,080.80 is: 640,433.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,588 : 1,147,594.64 = 464,080.80 : x
  2. Step 2: Convert to fraction form
    831,588/1,147,594.64 = 464,080.80/x
  3. Step 3: Cross multiply
    831,588x = 1,147,594.64 × 464,080.80
  4. Step 4: Simplify right side
    831,588x = 532,576,638,606.91
  5. Step 5: Solve for x
    x = 532,576,638,606.91/831,588
  6. Step 6: Final answer
    x = 640,433.29

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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.