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Finding the Fourth Proportional to 780,044, 1,170,066 and 189,068

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Solution

The fourth proportional to 780,044, 1,170,066 and 189,068 is: 283,602

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,044 : 1,170,066 = 189,068 : x
  2. Step 2: Convert to fraction form
    780,044/1,170,066 = 189,068/x
  3. Step 3: Cross multiply
    780,044x = 1,170,066 × 189,068
  4. Step 4: Simplify right side
    780,044x = 221,222,038,488
  5. Step 5: Solve for x
    x = 221,222,038,488/780,044
  6. Step 6: Final answer
    x = 283,602

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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.