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Finding the Fourth Proportional to 506,640.13, 699,094.32 and 302,647.75

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Solution

The fourth proportional to 506,640.13, 699,094.32 and 302,647.75 is: 417,612.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,640.13 : 699,094.32 = 302,647.75 : x
  2. Step 2: Convert to fraction form
    506,640.13/699,094.32 = 302,647.75/x
  3. Step 3: Cross multiply
    506,640.13x = 699,094.32 × 302,647.75
  4. Step 4: Simplify right side
    506,640.13x = 211,579,322,985.78
  5. Step 5: Solve for x
    x = 211,579,322,985.78/506,640.13
  6. Step 6: Final answer
    x = 417,612.64

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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.