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Finding the Fourth Proportional to 509,462.40, 702,840 and 318,143.68

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Solution

The fourth proportional to 509,462.40, 702,840 and 318,143.68 is: 438,902.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,462.40 : 702,840 = 318,143.68 : x
  2. Step 2: Convert to fraction form
    509,462.40/702,840 = 318,143.68/x
  3. Step 3: Cross multiply
    509,462.40x = 702,840 × 318,143.68
  4. Step 4: Simplify right side
    509,462.40x = 223,604,104,051.20
  5. Step 5: Solve for x
    x = 223,604,104,051.20/509,462.40
  6. Step 6: Final answer
    x = 438,902.07

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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.