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Finding the Fourth Proportional to 505,904.80, 698,065.74 and 299,144.44

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Solution

The fourth proportional to 505,904.80, 698,065.74 and 299,144.44 is: 412,770.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,904.80 : 698,065.74 = 299,144.44 : x
  2. Step 2: Convert to fraction form
    505,904.80/698,065.74 = 299,144.44/x
  3. Step 3: Cross multiply
    505,904.80x = 698,065.74 × 299,144.44
  4. Step 4: Simplify right side
    505,904.80x = 208,822,484,875.49
  5. Step 5: Solve for x
    x = 208,822,484,875.49/505,904.80
  6. Step 6: Final answer
    x = 412,770.32

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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.