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Finding the Fourth Proportional to 780,014, 1,170,021 and 189,038

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Solution

The fourth proportional to 780,014, 1,170,021 and 189,038 is: 283,557

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,014 : 1,170,021 = 189,038 : x
  2. Step 2: Convert to fraction form
    780,014/1,170,021 = 189,038/x
  3. Step 3: Cross multiply
    780,014x = 1,170,021 × 189,038
  4. Step 4: Simplify right side
    780,014x = 221,178,429,798
  5. Step 5: Solve for x
    x = 221,178,429,798/780,014
  6. Step 6: Final answer
    x = 283,557

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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.