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Finding the Fourth Proportional to 205,809.60, 308,714.40 and 168,484.80

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Solution

The fourth proportional to 205,809.60, 308,714.40 and 168,484.80 is: 252,727.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,809.60 : 308,714.40 = 168,484.80 : x
  2. Step 2: Convert to fraction form
    205,809.60/308,714.40 = 168,484.80/x
  3. Step 3: Cross multiply
    205,809.60x = 308,714.40 × 168,484.80
  4. Step 4: Simplify right side
    205,809.60x = 52,013,683,941.12
  5. Step 5: Solve for x
    x = 52,013,683,941.12/205,809.60
  6. Step 6: Final answer
    x = 252,727.20

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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.