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Finding the Fourth Proportional to 286,586.48, 429,472.35 and 211,113.11

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Solution

The fourth proportional to 286,586.48, 429,472.35 and 211,113.11 is: 316,369.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,586.48 : 429,472.35 = 211,113.11 : x
  2. Step 2: Convert to fraction form
    286,586.48/429,472.35 = 211,113.11/x
  3. Step 3: Cross multiply
    286,586.48x = 429,472.35 × 211,113.11
  4. Step 4: Simplify right side
    286,586.48x = 90,667,242,411.94
  5. Step 5: Solve for x
    x = 90,667,242,411.94/286,586.48
  6. Step 6: Final answer
    x = 316,369.57

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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.