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Finding the Fourth Proportional to 531,505,497.60, 797,258,246.40 and 208,389,369.60

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Solution

The fourth proportional to 531,505,497.60, 797,258,246.40 and 208,389,369.60 is: 312,584,054.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,505,497.60 : 797,258,246.40 = 208,389,369.60 : x
  2. Step 2: Convert to fraction form
    531,505,497.60/797,258,246.40 = 208,389,369.60/x
  3. Step 3: Cross multiply
    531,505,497.60x = 797,258,246.40 × 208,389,369.60
  4. Step 4: Simplify right side
    531,505,497.60x = 166,140,143,375,697,472
  5. Step 5: Solve for x
    x = 166,140,143,375,697,472/531,505,497.60
  6. Step 6: Final answer
    x = 312,584,054.40

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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.