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Finding the Fourth Proportional to 257,814.60, 386,721.90 and 254,315.40

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Solution

The fourth proportional to 257,814.60, 386,721.90 and 254,315.40 is: 381,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,814.60 : 386,721.90 = 254,315.40 : x
  2. Step 2: Convert to fraction form
    257,814.60/386,721.90 = 254,315.40/x
  3. Step 3: Cross multiply
    257,814.60x = 386,721.90 × 254,315.40
  4. Step 4: Simplify right side
    257,814.60x = 98,349,334,687.26
  5. Step 5: Solve for x
    x = 98,349,334,687.26/257,814.60
  6. Step 6: Final answer
    x = 381,473.10

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