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Finding the Fourth Proportional to 1,142,815.24, 1,714,277.54 and 942,764.68

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Solution

The fourth proportional to 1,142,815.24, 1,714,277.54 and 942,764.68 is: 1,414,192.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142,815.24 : 1,714,277.54 = 942,764.68 : x
  2. Step 2: Convert to fraction form
    1,142,815.24/1,714,277.54 = 942,764.68/x
  3. Step 3: Cross multiply
    1,142,815.24x = 1,714,277.54 × 942,764.68
  4. Step 4: Simplify right side
    1,142,815.24x = 1,616,160,316,429.29
  5. Step 5: Solve for x
    x = 1,616,160,316,429.29/1,142,815.24
  6. Step 6: Final answer
    x = 1,414,192.13

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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.