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Finding the Fourth Proportional to 491,410.80, 736,967.52 and 191,810.16

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Solution

The fourth proportional to 491,410.80, 736,967.52 and 191,810.16 is: 287,657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,410.80 : 736,967.52 = 191,810.16 : x
  2. Step 2: Convert to fraction form
    491,410.80/736,967.52 = 191,810.16/x
  3. Step 3: Cross multiply
    491,410.80x = 736,967.52 × 191,810.16
  4. Step 4: Simplify right side
    491,410.80x = 141,357,857,926.00
  5. Step 5: Solve for x
    x = 141,357,857,926.00/491,410.80
  6. Step 6: Final answer
    x = 287,657.21

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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.