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Finding the Fourth Proportional to 1,158,978,689.30, 1,739,183,099.09 and 537,078,002.78

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Solution

The fourth proportional to 1,158,978,689.30, 1,739,183,099.09 and 537,078,002.78 is: 805,948,369.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158,978,689.30 : 1,739,183,099.09 = 537,078,002.78 : x
  2. Step 2: Convert to fraction form
    1,158,978,689.30/1,739,183,099.09 = 537,078,002.78/x
  3. Step 3: Cross multiply
    1,158,978,689.30x = 1,739,183,099.09 × 537,078,002.78
  4. Step 4: Simplify right side
    1,158,978,689.30x = 934,076,985,320,634,752
  5. Step 5: Solve for x
    x = 934,076,985,320,634,752/1,158,978,689.30
  6. Step 6: Final answer
    x = 805,948,369.84

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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.