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Finding the Fourth Proportional to 429,955.50, 645,192.45 and 149,669.58

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Solution

The fourth proportional to 429,955.50, 645,192.45 and 149,669.58 is: 224,594.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,955.50 : 645,192.45 = 149,669.58 : x
  2. Step 2: Convert to fraction form
    429,955.50/645,192.45 = 149,669.58/x
  3. Step 3: Cross multiply
    429,955.50x = 645,192.45 × 149,669.58
  4. Step 4: Simplify right side
    429,955.50x = 96,565,683,010.67
  5. Step 5: Solve for x
    x = 96,565,683,010.67/429,955.50
  6. Step 6: Final answer
    x = 224,594.60

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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.