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Finding the Fourth Proportional to 409,950.40, 614,925.60 and 339,966.40

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Solution

The fourth proportional to 409,950.40, 614,925.60 and 339,966.40 is: 509,949.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,950.40 : 614,925.60 = 339,966.40 : x
  2. Step 2: Convert to fraction form
    409,950.40/614,925.60 = 339,966.40/x
  3. Step 3: Cross multiply
    409,950.40x = 614,925.60 × 339,966.40
  4. Step 4: Simplify right side
    409,950.40x = 209,054,042,499.84
  5. Step 5: Solve for x
    x = 209,054,042,499.84/409,950.40
  6. Step 6: Final answer
    x = 509,949.60

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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.