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Finding the Fourth Proportional to 541,075.09, 746,617.98 and 311,706.64

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Solution

The fourth proportional to 541,075.09, 746,617.98 and 311,706.64 is: 430,117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,075.09 : 746,617.98 = 311,706.64 : x
  2. Step 2: Convert to fraction form
    541,075.09/746,617.98 = 311,706.64/x
  3. Step 3: Cross multiply
    541,075.09x = 746,617.98 × 311,706.64
  4. Step 4: Simplify right side
    541,075.09x = 232,725,781,909.39
  5. Step 5: Solve for x
    x = 232,725,781,909.39/541,075.09
  6. Step 6: Final answer
    x = 430,117.35

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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.