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Finding the Fourth Proportional to 457,482.80, 686,269.80 and 191,326.64

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Solution

The fourth proportional to 457,482.80, 686,269.80 and 191,326.64 is: 287,009.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,482.80 : 686,269.80 = 191,326.64 : x
  2. Step 2: Convert to fraction form
    457,482.80/686,269.80 = 191,326.64/x
  3. Step 3: Cross multiply
    457,482.80x = 686,269.80 × 191,326.64
  4. Step 4: Simplify right side
    457,482.80x = 131,301,694,967.47
  5. Step 5: Solve for x
    x = 131,301,694,967.47/457,482.80
  6. Step 6: Final answer
    x = 287,009.03

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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.