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Finding the Fourth Proportional to 521,461.50, 719,616.90 and 282,997.50

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Solution

The fourth proportional to 521,461.50, 719,616.90 and 282,997.50 is: 390,536.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,461.50 : 719,616.90 = 282,997.50 : x
  2. Step 2: Convert to fraction form
    521,461.50/719,616.90 = 282,997.50/x
  3. Step 3: Cross multiply
    521,461.50x = 719,616.90 × 282,997.50
  4. Step 4: Simplify right side
    521,461.50x = 203,649,783,657.75
  5. Step 5: Solve for x
    x = 203,649,783,657.75/521,461.50
  6. Step 6: Final answer
    x = 390,536.57

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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.