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Finding the Fourth Proportional to 315,544.80, 435,205.68 and 202,376.16

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Solution

The fourth proportional to 315,544.80, 435,205.68 and 202,376.16 is: 279,121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,544.80 : 435,205.68 = 202,376.16 : x
  2. Step 2: Convert to fraction form
    315,544.80/435,205.68 = 202,376.16/x
  3. Step 3: Cross multiply
    315,544.80x = 435,205.68 × 202,376.16
  4. Step 4: Simplify right side
    315,544.80x = 88,075,254,328.59
  5. Step 5: Solve for x
    x = 88,075,254,328.59/315,544.80
  6. Step 6: Final answer
    x = 279,121.24

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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.