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Finding the Fourth Proportional to 692,029,502.06, 954,897,980.09 and 420,308,575.76

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Solution

The fourth proportional to 692,029,502.06, 954,897,980.09 and 420,308,575.76 is: 579,963,439.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,029,502.06 : 954,897,980.09 = 420,308,575.76 : x
  2. Step 2: Convert to fraction form
    692,029,502.06/954,897,980.09 = 420,308,575.76/x
  3. Step 3: Cross multiply
    692,029,502.06x = 954,897,980.09 × 420,308,575.76
  4. Step 4: Simplify right side
    692,029,502.06x = 401,351,810,008,014,464
  5. Step 5: Solve for x
    x = 401,351,810,008,014,464/692,029,502.06
  6. Step 6: Final answer
    x = 579,963,439.15

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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.