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Finding the Fourth Proportional to 512,152.88, 707,073.72 and 369,281.84

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Solution

The fourth proportional to 512,152.88, 707,073.72 and 369,281.84 is: 509,827.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,152.88 : 707,073.72 = 369,281.84 : x
  2. Step 2: Convert to fraction form
    512,152.88/707,073.72 = 369,281.84/x
  3. Step 3: Cross multiply
    512,152.88x = 707,073.72 × 369,281.84
  4. Step 4: Simplify right side
    512,152.88x = 261,109,484,337.25
  5. Step 5: Solve for x
    x = 261,109,484,337.25/512,152.88
  6. Step 6: Final answer
    x = 509,827.23

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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.