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Finding the Fourth Proportional to 978,085.60, 1,467,128.40 and 417,176.80

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Solution

The fourth proportional to 978,085.60, 1,467,128.40 and 417,176.80 is: 625,765.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,085.60 : 1,467,128.40 = 417,176.80 : x
  2. Step 2: Convert to fraction form
    978,085.60/1,467,128.40 = 417,176.80/x
  3. Step 3: Cross multiply
    978,085.60x = 1,467,128.40 × 417,176.80
  4. Step 4: Simplify right side
    978,085.60x = 612,051,931,101.12
  5. Step 5: Solve for x
    x = 612,051,931,101.12/978,085.60
  6. Step 6: Final answer
    x = 625,765.20

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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.