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Finding the Fourth Proportional to 314,928,404.60, 472,392,606.90 and 265,043,809.40

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Solution

The fourth proportional to 314,928,404.60, 472,392,606.90 and 265,043,809.40 is: 397,565,714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,404.60 : 472,392,606.90 = 265,043,809.40 : x
  2. Step 2: Convert to fraction form
    314,928,404.60/472,392,606.90 = 265,043,809.40/x
  3. Step 3: Cross multiply
    314,928,404.60x = 472,392,606.90 × 265,043,809.40
  4. Step 4: Simplify right side
    314,928,404.60x = 125,204,736,065,172,720
  5. Step 5: Solve for x
    x = 125,204,736,065,172,720/314,928,404.60
  6. Step 6: Final answer
    x = 397,565,714.10

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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.