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Finding the Fourth Proportional to 315,272.25, 435,075.71 and 202,095

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Solution

The fourth proportional to 315,272.25, 435,075.71 and 202,095 is: 278,891.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,272.25 : 435,075.71 = 202,095 : x
  2. Step 2: Convert to fraction form
    315,272.25/435,075.71 = 202,095/x
  3. Step 3: Cross multiply
    315,272.25x = 435,075.71 × 202,095
  4. Step 4: Simplify right side
    315,272.25x = 87,926,624,601.98
  5. Step 5: Solve for x
    x = 87,926,624,601.98/315,272.25
  6. Step 6: Final answer
    x = 278,891.10

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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.