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Finding the Fourth Proportional to 978,370.10, 1,467,700.95 and 347,231.06

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Solution

The fourth proportional to 978,370.10, 1,467,700.95 and 347,231.06 is: 520,898.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,370.10 : 1,467,700.95 = 347,231.06 : x
  2. Step 2: Convert to fraction form
    978,370.10/1,467,700.95 = 347,231.06/x
  3. Step 3: Cross multiply
    978,370.10x = 1,467,700.95 × 347,231.06
  4. Step 4: Simplify right side
    978,370.10x = 509,631,356,631.51
  5. Step 5: Solve for x
    x = 509,631,356,631.51/978,370.10
  6. Step 6: Final answer
    x = 520,898.34

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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.