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Finding the Fourth Proportional to 1,039,781.30, 1,557,047.55 and 829,829.30

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Solution

The fourth proportional to 1,039,781.30, 1,557,047.55 and 829,829.30 is: 1,242,649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039,781.30 : 1,557,047.55 = 829,829.30 : x
  2. Step 2: Convert to fraction form
    1,039,781.30/1,557,047.55 = 829,829.30/x
  3. Step 3: Cross multiply
    1,039,781.30x = 1,557,047.55 × 829,829.30
  4. Step 4: Simplify right side
    1,039,781.30x = 1,292,083,678,483.22
  5. Step 5: Solve for x
    x = 1,292,083,678,483.22/1,039,781.30
  6. Step 6: Final answer
    x = 1,242,649.47

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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.