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Finding the Fourth Proportional to 428,075.68, 590,748.78 and 258,277

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Solution

The fourth proportional to 428,075.68, 590,748.78 and 258,277 is: 356,424.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,075.68 : 590,748.78 = 258,277 : x
  2. Step 2: Convert to fraction form
    428,075.68/590,748.78 = 258,277/x
  3. Step 3: Cross multiply
    428,075.68x = 590,748.78 × 258,277
  4. Step 4: Simplify right side
    428,075.68x = 152,576,822,652.06
  5. Step 5: Solve for x
    x = 152,576,822,652.06/428,075.68
  6. Step 6: Final answer
    x = 356,424.88

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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.