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Finding the Fourth Proportional to 565,840.32, 782,915.82 and 493,394.28

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Solution

The fourth proportional to 565,840.32, 782,915.82 and 493,394.28 is: 682,677.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,840.32 : 782,915.82 = 493,394.28 : x
  2. Step 2: Convert to fraction form
    565,840.32/782,915.82 = 493,394.28/x
  3. Step 3: Cross multiply
    565,840.32x = 782,915.82 × 493,394.28
  4. Step 4: Simplify right side
    565,840.32x = 386,286,187,309.51
  5. Step 5: Solve for x
    x = 386,286,187,309.51/565,840.32
  6. Step 6: Final answer
    x = 682,677.03

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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.