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Finding the Fourth Proportional to 509,465.40, 702,844.14 and 318,146.68

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Solution

The fourth proportional to 509,465.40, 702,844.14 and 318,146.68 is: 438,906.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,465.40 : 702,844.14 = 318,146.68 : x
  2. Step 2: Convert to fraction form
    509,465.40/702,844.14 = 318,146.68/x
  3. Step 3: Cross multiply
    509,465.40x = 702,844.14 × 318,146.68
  4. Step 4: Simplify right side
    509,465.40x = 223,607,529,698.46
  5. Step 5: Solve for x
    x = 223,607,529,698.46/509,465.40
  6. Step 6: Final answer
    x = 438,906.21

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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.