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Finding the Fourth Proportional to 429,643.17, 644,289.18 and 186,499.80

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Solution

The fourth proportional to 429,643.17, 644,289.18 and 186,499.80 is: 279,673.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,643.17 : 644,289.18 = 186,499.80 : x
  2. Step 2: Convert to fraction form
    429,643.17/644,289.18 = 186,499.80/x
  3. Step 3: Cross multiply
    429,643.17x = 644,289.18 × 186,499.80
  4. Step 4: Simplify right side
    429,643.17x = 120,159,803,212.16
  5. Step 5: Solve for x
    x = 120,159,803,212.16/429,643.17
  6. Step 6: Final answer
    x = 279,673.49

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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.