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Finding the Fourth Proportional to 472,392,485.80, 708,588,728.70 and 290,742,015.40

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Solution

The fourth proportional to 472,392,485.80, 708,588,728.70 and 290,742,015.40 is: 436,113,023.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,485.80 : 708,588,728.70 = 290,742,015.40 : x
  2. Step 2: Convert to fraction form
    472,392,485.80/708,588,728.70 = 290,742,015.40/x
  3. Step 3: Cross multiply
    472,392,485.80x = 708,588,728.70 × 290,742,015.40
  4. Step 4: Simplify right side
    472,392,485.80x = 206,016,515,071,961,824
  5. Step 5: Solve for x
    x = 206,016,515,071,961,824/472,392,485.80
  6. Step 6: Final answer
    x = 436,113,023.10

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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.