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Finding the Fourth Proportional to 909,721,964.88, 1,360,992,543.57 and 689,029,050.20

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Solution

The fourth proportional to 909,721,964.88, 1,360,992,543.57 and 689,029,050.20 is: 1,030,824,181.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,721,964.88 : 1,360,992,543.57 = 689,029,050.20 : x
  2. Step 2: Convert to fraction form
    909,721,964.88/1,360,992,543.57 = 689,029,050.20/x
  3. Step 3: Cross multiply
    909,721,964.88x = 1,360,992,543.57 × 689,029,050.20
  4. Step 4: Simplify right side
    909,721,964.88x = 937,763,399,618,514,304
  5. Step 5: Solve for x
    x = 937,763,399,618,514,304/909,721,964.88
  6. Step 6: Final answer
    x = 1,030,824,181.26

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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.