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Finding the Fourth Proportional to 380,059.71, 524,482.46 and 207,977.72

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Solution

The fourth proportional to 380,059.71, 524,482.46 and 207,977.72 is: 287,009.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,059.71 : 524,482.46 = 207,977.72 : x
  2. Step 2: Convert to fraction form
    380,059.71/524,482.46 = 207,977.72/x
  3. Step 3: Cross multiply
    380,059.71x = 524,482.46 × 207,977.72
  4. Step 4: Simplify right side
    380,059.71x = 109,080,664,218.58
  5. Step 5: Solve for x
    x = 109,080,664,218.58/380,059.71
  6. Step 6: Final answer
    x = 287,009.28

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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.