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Finding the Fourth Proportional to 686,872,321, 1,030,177,060.54 and 266,693,702.12

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Solution

The fourth proportional to 686,872,321, 1,030,177,060.54 and 266,693,702.12 is: 399,989,526.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,872,321 : 1,030,177,060.54 = 266,693,702.12 : x
  2. Step 2: Convert to fraction form
    686,872,321/1,030,177,060.54 = 266,693,702.12/x
  3. Step 3: Cross multiply
    686,872,321x = 1,030,177,060.54 × 266,693,702.12
  4. Step 4: Simplify right side
    686,872,321x = 274,741,734,114,511,968
  5. Step 5: Solve for x
    x = 274,741,734,114,511,968/686,872,321
  6. Step 6: Final answer
    x = 399,989,526.02

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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.