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Finding the Fourth Proportional to 645,967.48, 969,168.56 and 286,088.44

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Solution

The fourth proportional to 645,967.48, 969,168.56 and 286,088.44 is: 429,228.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,967.48 : 969,168.56 = 286,088.44 : x
  2. Step 2: Convert to fraction form
    645,967.48/969,168.56 = 286,088.44/x
  3. Step 3: Cross multiply
    645,967.48x = 969,168.56 × 286,088.44
  4. Step 4: Simplify right side
    645,967.48x = 277,267,921,427.45
  5. Step 5: Solve for x
    x = 277,267,921,427.45/645,967.48
  6. Step 6: Final answer
    x = 429,228.92

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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.