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Finding the Fourth Proportional to 978,378.60, 1,467,640.80 and 347,210.40

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Solution

The fourth proportional to 978,378.60, 1,467,640.80 and 347,210.40 is: 520,841.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,378.60 : 1,467,640.80 = 347,210.40 : x
  2. Step 2: Convert to fraction form
    978,378.60/1,467,640.80 = 347,210.40/x
  3. Step 3: Cross multiply
    978,378.60x = 1,467,640.80 × 347,210.40
  4. Step 4: Simplify right side
    978,378.60x = 509,580,149,224.32
  5. Step 5: Solve for x
    x = 509,580,149,224.32/978,378.60
  6. Step 6: Final answer
    x = 520,841.47

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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.