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Finding the Fourth Proportional to 468,075.84, 645,942.72 and 253,215.40

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Solution

The fourth proportional to 468,075.84, 645,942.72 and 253,215.40 is: 349,436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,075.84 : 645,942.72 = 253,215.40 : x
  2. Step 2: Convert to fraction form
    468,075.84/645,942.72 = 253,215.40/x
  3. Step 3: Cross multiply
    468,075.84x = 645,942.72 × 253,215.40
  4. Step 4: Simplify right side
    468,075.84x = 163,562,644,221.89
  5. Step 5: Solve for x
    x = 163,562,644,221.89/468,075.84
  6. Step 6: Final answer
    x = 349,436.20

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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.