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Finding the Fourth Proportional to 770,820.80, 1,155,712.80 and 411,051.20

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Solution

The fourth proportional to 770,820.80, 1,155,712.80 and 411,051.20 is: 616,300.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,820.80 : 1,155,712.80 = 411,051.20 : x
  2. Step 2: Convert to fraction form
    770,820.80/1,155,712.80 = 411,051.20/x
  3. Step 3: Cross multiply
    770,820.80x = 1,155,712.80 × 411,051.20
  4. Step 4: Simplify right side
    770,820.80x = 475,057,133,295.36
  5. Step 5: Solve for x
    x = 475,057,133,295.36/770,820.80
  6. Step 6: Final answer
    x = 616,300.36

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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.