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Finding the Fourth Proportional to 1,197,689.32, 1,652,815.02 and 767,971.16

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Solution

The fourth proportional to 1,197,689.32, 1,652,815.02 and 767,971.16 is: 1,059,802.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,689.32 : 1,652,815.02 = 767,971.16 : x
  2. Step 2: Convert to fraction form
    1,197,689.32/1,652,815.02 = 767,971.16/x
  3. Step 3: Cross multiply
    1,197,689.32x = 1,652,815.02 × 767,971.16
  4. Step 4: Simplify right side
    1,197,689.32x = 1,269,314,268,174.82
  5. Step 5: Solve for x
    x = 1,269,314,268,174.82/1,197,689.32
  6. Step 6: Final answer
    x = 1,059,802.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.