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Finding the Fourth Proportional to 978,170.70, 1,467,693.45 and 347,537.10

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Solution

The fourth proportional to 978,170.70, 1,467,693.45 and 347,537.10 is: 521,461.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,170.70 : 1,467,693.45 = 347,537.10 : x
  2. Step 2: Convert to fraction form
    978,170.70/1,467,693.45 = 347,537.10/x
  3. Step 3: Cross multiply
    978,170.70x = 1,467,693.45 × 347,537.10
  4. Step 4: Simplify right side
    978,170.70x = 510,077,925,302.00
  5. Step 5: Solve for x
    x = 510,077,925,302.00/978,170.70
  6. Step 6: Final answer
    x = 521,461.06

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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.