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Finding the Fourth Proportional to 333,812.52, 498,290.54 and 309,143.16

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Solution

The fourth proportional to 333,812.52, 498,290.54 and 309,143.16 is: 461,465.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,812.52 : 498,290.54 = 309,143.16 : x
  2. Step 2: Convert to fraction form
    333,812.52/498,290.54 = 309,143.16/x
  3. Step 3: Cross multiply
    333,812.52x = 498,290.54 × 309,143.16
  4. Step 4: Simplify right side
    333,812.52x = 154,043,112,133.71
  5. Step 5: Solve for x
    x = 154,043,112,133.71/333,812.52
  6. Step 6: Final answer
    x = 461,465.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.