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Finding the Fourth Proportional to 1,742,689.48, 2,404,977.81 and 968,377.78

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Solution

The fourth proportional to 1,742,689.48, 2,404,977.81 and 968,377.78 is: 1,336,398.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742,689.48 : 2,404,977.81 = 968,377.78 : x
  2. Step 2: Convert to fraction form
    1,742,689.48/2,404,977.81 = 968,377.78/x
  3. Step 3: Cross multiply
    1,742,689.48x = 2,404,977.81 × 968,377.78
  4. Step 4: Simplify right side
    1,742,689.48x = 2,328,927,072,597.06
  5. Step 5: Solve for x
    x = 2,328,927,072,597.06/1,742,689.48
  6. Step 6: Final answer
    x = 1,336,398.19

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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.