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Finding the Fourth Proportional to 308,001.30, 462,001.95 and 97,638.90

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Solution

The fourth proportional to 308,001.30, 462,001.95 and 97,638.90 is: 146,458.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,001.30 : 462,001.95 = 97,638.90 : x
  2. Step 2: Convert to fraction form
    308,001.30/462,001.95 = 97,638.90/x
  3. Step 3: Cross multiply
    308,001.30x = 462,001.95 × 97,638.90
  4. Step 4: Simplify right side
    308,001.30x = 45,109,362,195.86
  5. Step 5: Solve for x
    x = 45,109,362,195.86/308,001.30
  6. Step 6: Final answer
    x = 146,458.35

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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.