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Finding the Fourth Proportional to 506,609.67, 699,006.88 and 302,620.66

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Solution

The fourth proportional to 506,609.67, 699,006.88 and 302,620.66 is: 417,548.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,609.67 : 699,006.88 = 302,620.66 : x
  2. Step 2: Convert to fraction form
    506,609.67/699,006.88 = 302,620.66/x
  3. Step 3: Cross multiply
    506,609.67x = 699,006.88 × 302,620.66
  4. Step 4: Simplify right side
    506,609.67x = 211,533,922,000.90
  5. Step 5: Solve for x
    x = 211,533,922,000.90/506,609.67
  6. Step 6: Final answer
    x = 417,548.13

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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.