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Finding the Fourth Proportional to 472,702.25, 652,402.10 and 279,130.67

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Solution

The fourth proportional to 472,702.25, 652,402.10 and 279,130.67 is: 385,243.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,702.25 : 652,402.10 = 279,130.67 : x
  2. Step 2: Convert to fraction form
    472,702.25/652,402.10 = 279,130.67/x
  3. Step 3: Cross multiply
    472,702.25x = 652,402.10 × 279,130.67
  4. Step 4: Simplify right side
    472,702.25x = 182,105,435,282.41
  5. Step 5: Solve for x
    x = 182,105,435,282.41/472,702.25
  6. Step 6: Final answer
    x = 385,243.43

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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.