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Finding the Fourth Proportional to 765,393.94, 1,148,091 and 543,434.32

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Solution

The fourth proportional to 765,393.94, 1,148,091 and 543,434.32 is: 815,151.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,393.94 : 1,148,091 = 543,434.32 : x
  2. Step 2: Convert to fraction form
    765,393.94/1,148,091 = 543,434.32/x
  3. Step 3: Cross multiply
    765,393.94x = 1,148,091 × 543,434.32
  4. Step 4: Simplify right side
    765,393.94x = 623,912,051,883.12
  5. Step 5: Solve for x
    x = 623,912,051,883.12/765,393.94
  6. Step 6: Final answer
    x = 815,151.54

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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.