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Finding the Fourth Proportional to 768,862.80, 1,060,817.72 and 442,158.06

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Solution

The fourth proportional to 768,862.80, 1,060,817.72 and 442,158.06 is: 610,055.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,862.80 : 1,060,817.72 = 442,158.06 : x
  2. Step 2: Convert to fraction form
    768,862.80/1,060,817.72 = 442,158.06/x
  3. Step 3: Cross multiply
    768,862.80x = 1,060,817.72 × 442,158.06
  4. Step 4: Simplify right side
    768,862.80x = 469,049,106,194.22
  5. Step 5: Solve for x
    x = 469,049,106,194.22/768,862.80
  6. Step 6: Final answer
    x = 610,055.66

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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.