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Finding the Fourth Proportional to 691,460, 1,037,190 and 166,148

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Solution

The fourth proportional to 691,460, 1,037,190 and 166,148 is: 249,222

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,460 : 1,037,190 = 166,148 : x
  2. Step 2: Convert to fraction form
    691,460/1,037,190 = 166,148/x
  3. Step 3: Cross multiply
    691,460x = 1,037,190 × 166,148
  4. Step 4: Simplify right side
    691,460x = 172,327,044,120
  5. Step 5: Solve for x
    x = 172,327,044,120/691,460
  6. Step 6: Final answer
    x = 249,222

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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.