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Finding the Fourth Proportional to 313,036.80, 469,555.20 and 102,681.60

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Solution

The fourth proportional to 313,036.80, 469,555.20 and 102,681.60 is: 154,022.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,036.80 : 469,555.20 = 102,681.60 : x
  2. Step 2: Convert to fraction form
    313,036.80/469,555.20 = 102,681.60/x
  3. Step 3: Cross multiply
    313,036.80x = 469,555.20 × 102,681.60
  4. Step 4: Simplify right side
    313,036.80x = 48,214,679,224.32
  5. Step 5: Solve for x
    x = 48,214,679,224.32/313,036.80
  6. Step 6: Final answer
    x = 154,022.40

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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.