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Finding the Fourth Proportional to 507,752, 700,697.76 and 281,431.52

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Solution

The fourth proportional to 507,752, 700,697.76 and 281,431.52 is: 388,375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,752 : 700,697.76 = 281,431.52 : x
  2. Step 2: Convert to fraction form
    507,752/700,697.76 = 281,431.52/x
  3. Step 3: Cross multiply
    507,752x = 700,697.76 × 281,431.52
  4. Step 4: Simplify right side
    507,752x = 197,198,435,657.40
  5. Step 5: Solve for x
    x = 197,198,435,657.40/507,752
  6. Step 6: Final answer
    x = 388,375.50

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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.