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Finding the Fourth Proportional to 502,775,203.60, 693,748,687.08 and 282,745,507.60

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Solution

The fourth proportional to 502,775,203.60, 693,748,687.08 and 282,745,507.60 is: 390,143,195.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,775,203.60 : 693,748,687.08 = 282,745,507.60 : x
  2. Step 2: Convert to fraction form
    502,775,203.60/693,748,687.08 = 282,745,507.60/x
  3. Step 3: Cross multiply
    502,775,203.60x = 693,748,687.08 × 282,745,507.60
  4. Step 4: Simplify right side
    502,775,203.60x = 196,154,324,675,268,192
  5. Step 5: Solve for x
    x = 196,154,324,675,268,192/502,775,203.60
  6. Step 6: Final answer
    x = 390,143,195.75

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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.