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Finding the Fourth Proportional to 314,928,301.20, 472,392,451.80 and 288,143,674.80

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Solution

The fourth proportional to 314,928,301.20, 472,392,451.80 and 288,143,674.80 is: 432,215,512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,301.20 : 472,392,451.80 = 288,143,674.80 : x
  2. Step 2: Convert to fraction form
    314,928,301.20/472,392,451.80 = 288,143,674.80/x
  3. Step 3: Cross multiply
    314,928,301.20x = 472,392,451.80 × 288,143,674.80
  4. Step 4: Simplify right side
    314,928,301.20x = 136,116,897,009,433,888
  5. Step 5: Solve for x
    x = 136,116,897,009,433,888/314,928,301.20
  6. Step 6: Final answer
    x = 432,215,512.20

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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.