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Finding the Fourth Proportional to 657,713.05, 986,597.01 and 208,423.98

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Solution

The fourth proportional to 657,713.05, 986,597.01 and 208,423.98 is: 312,644.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,713.05 : 986,597.01 = 208,423.98 : x
  2. Step 2: Convert to fraction form
    657,713.05/986,597.01 = 208,423.98/x
  3. Step 3: Cross multiply
    657,713.05x = 986,597.01 × 208,423.98
  4. Step 4: Simplify right side
    657,713.05x = 205,630,475,480.30
  5. Step 5: Solve for x
    x = 205,630,475,480.30/657,713.05
  6. Step 6: Final answer
    x = 312,644.67

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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.