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Finding the Fourth Proportional to 1,640,497.80, 2,460,746.70 and 976,945.80

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Solution

The fourth proportional to 1,640,497.80, 2,460,746.70 and 976,945.80 is: 1,465,418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640,497.80 : 2,460,746.70 = 976,945.80 : x
  2. Step 2: Convert to fraction form
    1,640,497.80/2,460,746.70 = 976,945.80/x
  3. Step 3: Cross multiply
    1,640,497.80x = 2,460,746.70 × 976,945.80
  4. Step 4: Simplify right side
    1,640,497.80x = 2,404,016,153,428.86
  5. Step 5: Solve for x
    x = 2,404,016,153,428.86/1,640,497.80
  6. Step 6: Final answer
    x = 1,465,418.70

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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.