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Finding the Fourth Proportional to 364,438.66, 502,813.70 and 211,423.72

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Solution

The fourth proportional to 364,438.66, 502,813.70 and 211,423.72 is: 291,699.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,438.66 : 502,813.70 = 211,423.72 : x
  2. Step 2: Convert to fraction form
    364,438.66/502,813.70 = 211,423.72/x
  3. Step 3: Cross multiply
    364,438.66x = 502,813.70 × 211,423.72
  4. Step 4: Simplify right side
    364,438.66x = 106,306,742,920.96
  5. Step 5: Solve for x
    x = 106,306,742,920.96/364,438.66
  6. Step 6: Final answer
    x = 291,699.96

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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.