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Finding the Fourth Proportional to 507,129.07, 699,885.08 and 280,774.57

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Solution

The fourth proportional to 507,129.07, 699,885.08 and 280,774.57 is: 387,494.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,129.07 : 699,885.08 = 280,774.57 : x
  2. Step 2: Convert to fraction form
    507,129.07/699,885.08 = 280,774.57/x
  3. Step 3: Cross multiply
    507,129.07x = 699,885.08 × 280,774.57
  4. Step 4: Simplify right side
    507,129.07x = 196,509,932,386.42
  5. Step 5: Solve for x
    x = 196,509,932,386.42/507,129.07
  6. Step 6: Final answer
    x = 387,494.91

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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.