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Finding the Fourth Proportional to 340,106.40, 510,159.60 and 303,364.80

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Solution

The fourth proportional to 340,106.40, 510,159.60 and 303,364.80 is: 455,047.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,106.40 : 510,159.60 = 303,364.80 : x
  2. Step 2: Convert to fraction form
    340,106.40/510,159.60 = 303,364.80/x
  3. Step 3: Cross multiply
    340,106.40x = 510,159.60 × 303,364.80
  4. Step 4: Simplify right side
    340,106.40x = 154,764,465,022.08
  5. Step 5: Solve for x
    x = 154,764,465,022.08/340,106.40
  6. Step 6: Final answer
    x = 455,047.20

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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.