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Finding the Fourth Proportional to 657,647.76, 986,500.32 and 208,401.72

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Solution

The fourth proportional to 657,647.76, 986,500.32 and 208,401.72 is: 312,611.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,647.76 : 986,500.32 = 208,401.72 : x
  2. Step 2: Convert to fraction form
    657,647.76/986,500.32 = 208,401.72/x
  3. Step 3: Cross multiply
    657,647.76x = 986,500.32 × 208,401.72
  4. Step 4: Simplify right side
    657,647.76x = 205,588,363,468.55
  5. Step 5: Solve for x
    x = 205,588,363,468.55/657,647.76
  6. Step 6: Final answer
    x = 312,611.67

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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.