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Finding the Fourth Proportional to 400,715.98, 552,988.94 and 216,956.50

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Solution

The fourth proportional to 400,715.98, 552,988.94 and 216,956.50 is: 299,400.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,715.98 : 552,988.94 = 216,956.50 : x
  2. Step 2: Convert to fraction form
    400,715.98/552,988.94 = 216,956.50/x
  3. Step 3: Cross multiply
    400,715.98x = 552,988.94 × 216,956.50
  4. Step 4: Simplify right side
    400,715.98x = 119,974,542,493.86
  5. Step 5: Solve for x
    x = 119,974,542,493.86/400,715.98
  6. Step 6: Final answer
    x = 299,400.45

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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.