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Finding the Fourth Proportional to 398,575,985.80, 597,863,978.70 and 111,361,649.80

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Solution

The fourth proportional to 398,575,985.80, 597,863,978.70 and 111,361,649.80 is: 167,042,474.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,575,985.80 : 597,863,978.70 = 111,361,649.80 : x
  2. Step 2: Convert to fraction form
    398,575,985.80/597,863,978.70 = 111,361,649.80/x
  3. Step 3: Cross multiply
    398,575,985.80x = 597,863,978.70 × 111,361,649.80
  4. Step 4: Simplify right side
    398,575,985.80x = 66,579,119,024,024,064
  5. Step 5: Solve for x
    x = 66,579,119,024,024,064/398,575,985.80
  6. Step 6: Final answer
    x = 167,042,474.70

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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.