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Finding the Fourth Proportional to 891,877,948.01, 1,337,830,375.71 and 309,630,689.04

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Solution

The fourth proportional to 891,877,948.01, 1,337,830,375.71 and 309,630,689.04 is: 464,450,704.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,877,948.01 : 1,337,830,375.71 = 309,630,689.04 : x
  2. Step 2: Convert to fraction form
    891,877,948.01/1,337,830,375.71 = 309,630,689.04/x
  3. Step 3: Cross multiply
    891,877,948.01x = 1,337,830,375.71 × 309,630,689.04
  4. Step 4: Simplify right side
    891,877,948.01x = 414,233,341,049,729,408
  5. Step 5: Solve for x
    x = 414,233,341,049,729,408/891,877,948.01
  6. Step 6: Final answer
    x = 464,450,704.24

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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.