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Finding the Fourth Proportional to 375,641,862.60, 518,308,143.70 and 216,869,234.25

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Solution

The fourth proportional to 375,641,862.60, 518,308,143.70 and 216,869,234.25 is: 299,234,727.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,641,862.60 : 518,308,143.70 = 216,869,234.25 : x
  2. Step 2: Convert to fraction form
    375,641,862.60/518,308,143.70 = 216,869,234.25/x
  3. Step 3: Cross multiply
    375,641,862.60x = 518,308,143.70 × 216,869,234.25
  4. Step 4: Simplify right side
    375,641,862.60x = 112,405,090,229,757,952
  5. Step 5: Solve for x
    x = 112,405,090,229,757,952/375,641,862.60
  6. Step 6: Final answer
    x = 299,234,727.07

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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.