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Finding the Fourth Proportional to 428,295.84, 643,032.24 and 218,075.04

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Solution

The fourth proportional to 428,295.84, 643,032.24 and 218,075.04 is: 327,412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,295.84 : 643,032.24 = 218,075.04 : x
  2. Step 2: Convert to fraction form
    428,295.84/643,032.24 = 218,075.04/x
  3. Step 3: Cross multiply
    428,295.84x = 643,032.24 × 218,075.04
  4. Step 4: Simplify right side
    428,295.84x = 140,229,281,459.29
  5. Step 5: Solve for x
    x = 140,229,281,459.29/428,295.84
  6. Step 6: Final answer
    x = 327,412.20

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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.