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Finding the Fourth Proportional to 375,959,643.60, 518,825,801.16 and 210,936,438.48

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Solution

The fourth proportional to 375,959,643.60, 518,825,801.16 and 210,936,438.48 is: 291,093,122.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,959,643.60 : 518,825,801.16 = 210,936,438.48 : x
  2. Step 2: Convert to fraction form
    375,959,643.60/518,825,801.16 = 210,936,438.48/x
  3. Step 3: Cross multiply
    375,959,643.60x = 518,825,801.16 × 210,936,438.48
  4. Step 4: Simplify right side
    375,959,643.60x = 109,439,266,688,223,056
  5. Step 5: Solve for x
    x = 109,439,266,688,223,056/375,959,643.60
  6. Step 6: Final answer
    x = 291,093,122.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.