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Finding the Fourth Proportional to 314,928,698.80, 472,393,048.20 and 293,405,338.30

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Solution

The fourth proportional to 314,928,698.80, 472,393,048.20 and 293,405,338.30 is: 440,108,007.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,698.80 : 472,393,048.20 = 293,405,338.30 : x
  2. Step 2: Convert to fraction form
    314,928,698.80/472,393,048.20 = 293,405,338.30/x
  3. Step 3: Cross multiply
    314,928,698.80x = 472,393,048.20 × 293,405,338.30
  4. Step 4: Simplify right side
    314,928,698.80x = 138,602,642,117,689,216
  5. Step 5: Solve for x
    x = 138,602,642,117,689,216/314,928,698.80
  6. Step 6: Final answer
    x = 440,108,007.45

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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.