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Finding the Fourth Proportional to 561,904.60, 842,929.80 and 277,740.40

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Solution

The fourth proportional to 561,904.60, 842,929.80 and 277,740.40 is: 416,646.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,904.60 : 842,929.80 = 277,740.40 : x
  2. Step 2: Convert to fraction form
    561,904.60/842,929.80 = 277,740.40/x
  3. Step 3: Cross multiply
    561,904.60x = 842,929.80 × 277,740.40
  4. Step 4: Simplify right side
    561,904.60x = 234,115,659,823.92
  5. Step 5: Solve for x
    x = 234,115,659,823.92/561,904.60
  6. Step 6: Final answer
    x = 416,646.63

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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.