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Finding the Fourth Proportional to 528,769.50, 729,702.82 and 302,415

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Solution

The fourth proportional to 528,769.50, 729,702.82 and 302,415 is: 417,333.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,769.50 : 729,702.82 = 302,415 : x
  2. Step 2: Convert to fraction form
    528,769.50/729,702.82 = 302,415/x
  3. Step 3: Cross multiply
    528,769.50x = 729,702.82 × 302,415
  4. Step 4: Simplify right side
    528,769.50x = 220,673,078,310.30
  5. Step 5: Solve for x
    x = 220,673,078,310.30/528,769.50
  6. Step 6: Final answer
    x = 417,333.22

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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.