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Finding the Fourth Proportional to 429,643.60, 644,465.40 and 193,099.60

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Solution

The fourth proportional to 429,643.60, 644,465.40 and 193,099.60 is: 289,649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,643.60 : 644,465.40 = 193,099.60 : x
  2. Step 2: Convert to fraction form
    429,643.60/644,465.40 = 193,099.60/x
  3. Step 3: Cross multiply
    429,643.60x = 644,465.40 × 193,099.60
  4. Step 4: Simplify right side
    429,643.60x = 124,446,010,953.84
  5. Step 5: Solve for x
    x = 124,446,010,953.84/429,643.60
  6. Step 6: Final answer
    x = 289,649.40

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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.