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Finding the Fourth Proportional to 402,475.42, 555,427.02 and 221,189.50

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Solution

The fourth proportional to 402,475.42, 555,427.02 and 221,189.50 is: 305,247.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,475.42 : 555,427.02 = 221,189.50 : x
  2. Step 2: Convert to fraction form
    402,475.42/555,427.02 = 221,189.50/x
  3. Step 3: Cross multiply
    402,475.42x = 555,427.02 × 221,189.50
  4. Step 4: Simplify right side
    402,475.42x = 122,854,624,840.29
  5. Step 5: Solve for x
    x = 122,854,624,840.29/402,475.42
  6. Step 6: Final answer
    x = 305,247.52

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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.