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Finding the Fourth Proportional to 978,381.10, 1,467,717.47 and 347,242.06

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Solution

The fourth proportional to 978,381.10, 1,467,717.47 and 347,242.06 is: 520,914.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,381.10 : 1,467,717.47 = 347,242.06 : x
  2. Step 2: Convert to fraction form
    978,381.10/1,467,717.47 = 347,242.06/x
  3. Step 3: Cross multiply
    978,381.10x = 1,467,717.47 × 347,242.06
  4. Step 4: Simplify right side
    978,381.10x = 509,653,237,780.79
  5. Step 5: Solve for x
    x = 509,653,237,780.79/978,381.10
  6. Step 6: Final answer
    x = 520,914.84

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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.