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Finding the Fourth Proportional to 429,698.98, 644,615.33 and 130,108.23

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Solution

The fourth proportional to 429,698.98, 644,615.33 and 130,108.23 is: 195,182.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,698.98 : 644,615.33 = 130,108.23 : x
  2. Step 2: Convert to fraction form
    429,698.98/644,615.33 = 130,108.23/x
  3. Step 3: Cross multiply
    429,698.98x = 644,615.33 × 130,108.23
  4. Step 4: Simplify right side
    429,698.98x = 83,869,759,617.17
  5. Step 5: Solve for x
    x = 83,869,759,617.17/429,698.98
  6. Step 6: Final answer
    x = 195,182.59

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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.