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Finding the Fourth Proportional to 371,423.84, 512,550.64 and 201,654.24

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Solution

The fourth proportional to 371,423.84, 512,550.64 and 201,654.24 is: 278,275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,423.84 : 512,550.64 = 201,654.24 : x
  2. Step 2: Convert to fraction form
    371,423.84/512,550.64 = 201,654.24/x
  3. Step 3: Cross multiply
    371,423.84x = 512,550.64 × 201,654.24
  4. Step 4: Simplify right side
    371,423.84x = 103,358,009,770.71
  5. Step 5: Solve for x
    x = 103,358,009,770.71/371,423.84
  6. Step 6: Final answer
    x = 278,275.11

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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.