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Finding the Fourth Proportional to 429,698.93, 644,762.23 and 325,159.25

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Solution

The fourth proportional to 429,698.93, 644,762.23 and 325,159.25 is: 487,900.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,698.93 : 644,762.23 = 325,159.25 : x
  2. Step 2: Convert to fraction form
    429,698.93/644,762.23 = 325,159.25/x
  3. Step 3: Cross multiply
    429,698.93x = 644,762.23 × 325,159.25
  4. Step 4: Simplify right side
    429,698.93x = 209,650,399,098.42
  5. Step 5: Solve for x
    x = 209,650,399,098.42/429,698.93
  6. Step 6: Final answer
    x = 487,900.68

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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.