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Finding the Fourth Proportional to 506,758.86, 699,216.18 and 302,779.14

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Solution

The fourth proportional to 506,758.86, 699,216.18 and 302,779.14 is: 417,768.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,758.86 : 699,216.18 = 302,779.14 : x
  2. Step 2: Convert to fraction form
    506,758.86/699,216.18 = 302,779.14/x
  3. Step 3: Cross multiply
    506,758.86x = 699,216.18 × 302,779.14
  4. Step 4: Simplify right side
    506,758.86x = 211,708,073,654.49
  5. Step 5: Solve for x
    x = 211,708,073,654.49/506,758.86
  6. Step 6: Final answer
    x = 417,768.86

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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.