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Finding the Fourth Proportional to 507,864, 700,852.32 and 281,544

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Solution

The fourth proportional to 507,864, 700,852.32 and 281,544 is: 388,530.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,864 : 700,852.32 = 281,544 : x
  2. Step 2: Convert to fraction form
    507,864/700,852.32 = 281,544/x
  3. Step 3: Cross multiply
    507,864x = 700,852.32 × 281,544
  4. Step 4: Simplify right side
    507,864x = 197,320,765,582.08
  5. Step 5: Solve for x
    x = 197,320,765,582.08/507,864
  6. Step 6: Final answer
    x = 388,530.72

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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.