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Finding the Fourth Proportional to 781,075, 1,171,729.14 and 282,555.64

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Solution

The fourth proportional to 781,075, 1,171,729.14 and 282,555.64 is: 423,875.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,075 : 1,171,729.14 = 282,555.64 : x
  2. Step 2: Convert to fraction form
    781,075/1,171,729.14 = 282,555.64/x
  3. Step 3: Cross multiply
    781,075x = 1,171,729.14 × 282,555.64
  4. Step 4: Simplify right side
    781,075x = 331,078,677,059.35
  5. Step 5: Solve for x
    x = 331,078,677,059.35/781,075
  6. Step 6: Final answer
    x = 423,875.65

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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.