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Finding the Fourth Proportional to 507,357.13, 700,114.30 and 280,997.77

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Solution

The fourth proportional to 507,357.13, 700,114.30 and 280,997.77 is: 387,755.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,357.13 : 700,114.30 = 280,997.77 : x
  2. Step 2: Convert to fraction form
    507,357.13/700,114.30 = 280,997.77/x
  3. Step 3: Cross multiply
    507,357.13x = 700,114.30 × 280,997.77
  4. Step 4: Simplify right side
    507,357.13x = 196,730,557,045.11
  5. Step 5: Solve for x
    x = 196,730,557,045.11/507,357.13
  6. Step 6: Final answer
    x = 387,755.58

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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.