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Finding the Fourth Proportional to 257,816.91, 386,878.47 and 139,485.63

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Solution

The fourth proportional to 257,816.91, 386,878.47 and 139,485.63 is: 209,311.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,816.91 : 386,878.47 = 139,485.63 : x
  2. Step 2: Convert to fraction form
    257,816.91/386,878.47 = 139,485.63/x
  3. Step 3: Cross multiply
    257,816.91x = 386,878.47 × 139,485.63
  4. Step 4: Simplify right side
    257,816.91x = 53,963,987,121.39
  5. Step 5: Solve for x
    x = 53,963,987,121.39/257,816.91
  6. Step 6: Final answer
    x = 209,311.28

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1.5x scale

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.