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Finding the Fourth Proportional to 506,919, 699,500.73 and 302,929.32

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Solution

The fourth proportional to 506,919, 699,500.73 and 302,929.32 is: 418,014.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,919 : 699,500.73 = 302,929.32 : x
  2. Step 2: Convert to fraction form
    506,919/699,500.73 = 302,929.32/x
  3. Step 3: Cross multiply
    506,919x = 699,500.73 × 302,929.32
  4. Step 4: Simplify right side
    506,919x = 211,899,280,478.40
  5. Step 5: Solve for x
    x = 211,899,280,478.40/506,919
  6. Step 6: Final answer
    x = 418,014.08

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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.