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Finding the Fourth Proportional to 438,065.20, 657,097.80 and 305,095.60

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Solution

The fourth proportional to 438,065.20, 657,097.80 and 305,095.60 is: 457,643.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,065.20 : 657,097.80 = 305,095.60 : x
  2. Step 2: Convert to fraction form
    438,065.20/657,097.80 = 305,095.60/x
  3. Step 3: Cross multiply
    438,065.20x = 657,097.80 × 305,095.60
  4. Step 4: Simplify right side
    438,065.20x = 200,477,647,549.68
  5. Step 5: Solve for x
    x = 200,477,647,549.68/438,065.20
  6. Step 6: Final answer
    x = 457,643.40

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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.