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Finding the Fourth Proportional to 611,079.60, 916,838.10 and 256,202.40

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Solution

The fourth proportional to 611,079.60, 916,838.10 and 256,202.40 is: 384,395.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,079.60 : 916,838.10 = 256,202.40 : x
  2. Step 2: Convert to fraction form
    611,079.60/916,838.10 = 256,202.40/x
  3. Step 3: Cross multiply
    611,079.60x = 916,838.10 × 256,202.40
  4. Step 4: Simplify right side
    611,079.60x = 234,896,121,631.44
  5. Step 5: Solve for x
    x = 234,896,121,631.44/611,079.60
  6. Step 6: Final answer
    x = 384,395.29

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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.