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Finding the Fourth Proportional to 770,824.80, 1,155,718.80 and 411,055.20

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Solution

The fourth proportional to 770,824.80, 1,155,718.80 and 411,055.20 is: 616,306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,824.80 : 1,155,718.80 = 411,055.20 : x
  2. Step 2: Convert to fraction form
    770,824.80/1,155,718.80 = 411,055.20/x
  3. Step 3: Cross multiply
    770,824.80x = 1,155,718.80 × 411,055.20
  4. Step 4: Simplify right side
    770,824.80x = 475,064,222,477.76
  5. Step 5: Solve for x
    x = 475,064,222,477.76/770,824.80
  6. Step 6: Final answer
    x = 616,306.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.