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Finding the Fourth Proportional to 284,902.60, 427,392.30 and 97,971.40

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Solution

The fourth proportional to 284,902.60, 427,392.30 and 97,971.40 is: 146,970.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,902.60 : 427,392.30 = 97,971.40 : x
  2. Step 2: Convert to fraction form
    284,902.60/427,392.30 = 97,971.40/x
  3. Step 3: Cross multiply
    284,902.60x = 427,392.30 × 97,971.40
  4. Step 4: Simplify right side
    284,902.60x = 41,872,221,980.22
  5. Step 5: Solve for x
    x = 41,872,221,980.22/284,902.60
  6. Step 6: Final answer
    x = 146,970.30

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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.