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Finding the Fourth Proportional to 484,714, 668,957.16 and 283,678.48

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Solution

The fourth proportional to 484,714, 668,957.16 and 283,678.48 is: 391,506.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,714 : 668,957.16 = 283,678.48 : x
  2. Step 2: Convert to fraction form
    484,714/668,957.16 = 283,678.48/x
  3. Step 3: Cross multiply
    484,714x = 668,957.16 × 283,678.48
  4. Step 4: Simplify right side
    484,714x = 189,768,750,333.92
  5. Step 5: Solve for x
    x = 189,768,750,333.92/484,714
  6. Step 6: Final answer
    x = 391,506.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.