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Finding the Fourth Proportional to 385,357.02, 531,776.34 and 213,258.89

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Solution

The fourth proportional to 385,357.02, 531,776.34 and 213,258.89 is: 294,288.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,357.02 : 531,776.34 = 213,258.89 : x
  2. Step 2: Convert to fraction form
    385,357.02/531,776.34 = 213,258.89/x
  3. Step 3: Cross multiply
    385,357.02x = 531,776.34 × 213,258.89
  4. Step 4: Simplify right side
    385,357.02x = 113,406,031,082.67
  5. Step 5: Solve for x
    x = 113,406,031,082.67/385,357.02
  6. Step 6: Final answer
    x = 294,288.22

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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.