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Finding the Fourth Proportional to 506,989.63, 760,850.79 and 199,287.46

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Solution

The fourth proportional to 506,989.63, 760,850.79 and 199,287.46 is: 299,075.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,989.63 : 760,850.79 = 199,287.46 : x
  2. Step 2: Convert to fraction form
    506,989.63/760,850.79 = 199,287.46/x
  3. Step 3: Cross multiply
    506,989.63x = 760,850.79 × 199,287.46
  4. Step 4: Simplify right side
    506,989.63x = 151,628,016,577.40
  5. Step 5: Solve for x
    x = 151,628,016,577.40/506,989.63
  6. Step 6: Final answer
    x = 299,075.19

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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.