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Finding the Fourth Proportional to 429,643.67, 644,289.93 and 186,500.30

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Solution

The fourth proportional to 429,643.67, 644,289.93 and 186,500.30 is: 279,674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,643.67 : 644,289.93 = 186,500.30 : x
  2. Step 2: Convert to fraction form
    429,643.67/644,289.93 = 186,500.30/x
  3. Step 3: Cross multiply
    429,643.67x = 644,289.93 × 186,500.30
  4. Step 4: Simplify right side
    429,643.67x = 120,160,262,010.53
  5. Step 5: Solve for x
    x = 120,160,262,010.53/429,643.67
  6. Step 6: Final answer
    x = 279,674.23

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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.