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Finding the Fourth Proportional to 506,972.19, 699,698.47 and 289,179.80

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Solution

The fourth proportional to 506,972.19, 699,698.47 and 289,179.80 is: 399,111.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,972.19 : 699,698.47 = 289,179.80 : x
  2. Step 2: Convert to fraction form
    506,972.19/699,698.47 = 289,179.80/x
  3. Step 3: Cross multiply
    506,972.19x = 699,698.47 × 289,179.80
  4. Step 4: Simplify right side
    506,972.19x = 202,338,658,670.52
  5. Step 5: Solve for x
    x = 202,338,658,670.52/506,972.19
  6. Step 6: Final answer
    x = 399,111.95

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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.