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Finding the Fourth Proportional to 209,714.60, 314,615.58 and 69,484.20

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Solution

The fourth proportional to 209,714.60, 314,615.58 and 69,484.20 is: 104,240.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,714.60 : 314,615.58 = 69,484.20 : x
  2. Step 2: Convert to fraction form
    209,714.60/314,615.58 = 69,484.20/x
  3. Step 3: Cross multiply
    209,714.60x = 314,615.58 × 69,484.20
  4. Step 4: Simplify right side
    209,714.60x = 21,860,811,883.84
  5. Step 5: Solve for x
    x = 21,860,811,883.84/209,714.60
  6. Step 6: Final answer
    x = 104,240.77

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1.5x scale

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.