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Finding the Fourth Proportional to 314,928,485.70, 472,392,728.55 and 288,143,859.30

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Solution

The fourth proportional to 314,928,485.70, 472,392,728.55 and 288,143,859.30 is: 432,215,788.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,485.70 : 472,392,728.55 = 288,143,859.30 : x
  2. Step 2: Convert to fraction form
    314,928,485.70/472,392,728.55 = 288,143,859.30/x
  3. Step 3: Cross multiply
    314,928,485.70x = 472,392,728.55 × 288,143,859.30
  4. Step 4: Simplify right side
    314,928,485.70x = 136,117,063,909,654,304
  5. Step 5: Solve for x
    x = 136,117,063,909,654,304/314,928,485.70
  6. Step 6: Final answer
    x = 432,215,788.95

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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.