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Finding the Fourth Proportional to 348,345.20, 521,740.20 and 286,137.20

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Solution

The fourth proportional to 348,345.20, 521,740.20 and 286,137.20 is: 428,567.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,345.20 : 521,740.20 = 286,137.20 : x
  2. Step 2: Convert to fraction form
    348,345.20/521,740.20 = 286,137.20/x
  3. Step 3: Cross multiply
    348,345.20x = 521,740.20 × 286,137.20
  4. Step 4: Simplify right side
    348,345.20x = 149,289,279,955.44
  5. Step 5: Solve for x
    x = 149,289,279,955.44/348,345.20
  6. Step 6: Final answer
    x = 428,567.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.