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Finding the Fourth Proportional to 509,060.34, 702,418.98 and 294,220.41

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Solution

The fourth proportional to 509,060.34, 702,418.98 and 294,220.41 is: 405,975.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,060.34 : 702,418.98 = 294,220.41 : x
  2. Step 2: Convert to fraction form
    509,060.34/702,418.98 = 294,220.41/x
  3. Step 3: Cross multiply
    509,060.34x = 702,418.98 × 294,220.41
  4. Step 4: Simplify right side
    509,060.34x = 206,666,000,287.38
  5. Step 5: Solve for x
    x = 206,666,000,287.38/509,060.34
  6. Step 6: Final answer
    x = 405,975.45

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Double scale
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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.