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Finding the Fourth Proportional to 472,004.72, 707,622.99 and 219,444.49

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Solution

The fourth proportional to 472,004.72, 707,622.99 and 219,444.49 is: 328,988.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,004.72 : 707,622.99 = 219,444.49 : x
  2. Step 2: Convert to fraction form
    472,004.72/707,622.99 = 219,444.49/x
  3. Step 3: Cross multiply
    472,004.72x = 707,622.99 × 219,444.49
  4. Step 4: Simplify right side
    472,004.72x = 155,283,966,214.44
  5. Step 5: Solve for x
    x = 155,283,966,214.44/472,004.72
  6. Step 6: Final answer
    x = 328,988.16

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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.