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Finding the Fourth Proportional to 507,880, 700,874.40 and 281,560

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Solution

The fourth proportional to 507,880, 700,874.40 and 281,560 is: 388,552.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,880 : 700,874.40 = 281,560 : x
  2. Step 2: Convert to fraction form
    507,880/700,874.40 = 281,560/x
  3. Step 3: Cross multiply
    507,880x = 700,874.40 × 281,560
  4. Step 4: Simplify right side
    507,880x = 197,338,196,064
  5. Step 5: Solve for x
    x = 197,338,196,064/507,880
  6. Step 6: Final answer
    x = 388,552.80

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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.