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Finding the Fourth Proportional to 209,714.60, 314,879.10 and 147,660.20

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Solution

The fourth proportional to 209,714.60, 314,879.10 and 147,660.20 is: 221,706.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,714.60 : 314,879.10 = 147,660.20 : x
  2. Step 2: Convert to fraction form
    209,714.60/314,879.10 = 147,660.20/x
  3. Step 3: Cross multiply
    209,714.60x = 314,879.10 × 147,660.20
  4. Step 4: Simplify right side
    209,714.60x = 46,495,110,881.82
  5. Step 5: Solve for x
    x = 46,495,110,881.82/209,714.60
  6. Step 6: Final answer
    x = 221,706.60

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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.