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Finding the Fourth Proportional to 521,948.84, 782,638.34 and 157,157.24

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Solution

The fourth proportional to 521,948.84, 782,638.34 and 157,157.24 is: 235,650.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,948.84 : 782,638.34 = 157,157.24 : x
  2. Step 2: Convert to fraction form
    521,948.84/782,638.34 = 157,157.24/x
  3. Step 3: Cross multiply
    521,948.84x = 782,638.34 × 157,157.24
  4. Step 4: Simplify right side
    521,948.84x = 122,997,276,733.60
  5. Step 5: Solve for x
    x = 122,997,276,733.60/521,948.84
  6. Step 6: Final answer
    x = 235,650.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.