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Finding the Fourth Proportional to 314,928,462.40, 472,392,693.60 and 200,420,641.60

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Solution

The fourth proportional to 314,928,462.40, 472,392,693.60 and 200,420,641.60 is: 300,630,962.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,462.40 : 472,392,693.60 = 200,420,641.60 : x
  2. Step 2: Convert to fraction form
    314,928,462.40/472,392,693.60 = 200,420,641.60/x
  3. Step 3: Cross multiply
    314,928,462.40x = 472,392,693.60 × 200,420,641.60
  4. Step 4: Simplify right side
    314,928,462.40x = 94,677,246,738,464,208
  5. Step 5: Solve for x
    x = 94,677,246,738,464,208/314,928,462.40
  6. Step 6: Final answer
    x = 300,630,962.40

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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.