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Finding the Fourth Proportional to 509,463.40, 702,841.38 and 318,144.68

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Solution

The fourth proportional to 509,463.40, 702,841.38 and 318,144.68 is: 438,903.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,463.40 : 702,841.38 = 318,144.68 : x
  2. Step 2: Convert to fraction form
    509,463.40/702,841.38 = 318,144.68/x
  3. Step 3: Cross multiply
    509,463.40x = 702,841.38 × 318,144.68
  4. Step 4: Simplify right side
    509,463.40x = 223,605,245,930.86
  5. Step 5: Solve for x
    x = 223,605,245,930.86/509,463.40
  6. Step 6: Final answer
    x = 438,903.45

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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.