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Finding the Fourth Proportional to 509,971.23, 765,123.26 and 243,752.49

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Solution

The fourth proportional to 509,971.23, 765,123.26 and 243,752.49 is: 365,708.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,971.23 : 765,123.26 = 243,752.49 : x
  2. Step 2: Convert to fraction form
    509,971.23/765,123.26 = 243,752.49/x
  3. Step 3: Cross multiply
    509,971.23x = 765,123.26 × 243,752.49
  4. Step 4: Simplify right side
    509,971.23x = 186,500,698,563.16
  5. Step 5: Solve for x
    x = 186,500,698,563.16/509,971.23
  6. Step 6: Final answer
    x = 365,708.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.