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Finding the Fourth Proportional to 468,075.42, 645,943.50 and 253,215

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Solution

The fourth proportional to 468,075.42, 645,943.50 and 253,215 is: 349,436.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,075.42 : 645,943.50 = 253,215 : x
  2. Step 2: Convert to fraction form
    468,075.42/645,943.50 = 253,215/x
  3. Step 3: Cross multiply
    468,075.42x = 645,943.50 × 253,215
  4. Step 4: Simplify right side
    468,075.42x = 163,562,583,352.50
  5. Step 5: Solve for x
    x = 163,562,583,352.50/468,075.42
  6. Step 6: Final answer
    x = 349,436.39

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1.5x scale

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.