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Finding the Fourth Proportional to 360,758,078.40, 541,137,117.60 and 309,102,013.20

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Solution

The fourth proportional to 360,758,078.40, 541,137,117.60 and 309,102,013.20 is: 463,653,019.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,758,078.40 : 541,137,117.60 = 309,102,013.20 : x
  2. Step 2: Convert to fraction form
    360,758,078.40/541,137,117.60 = 309,102,013.20/x
  3. Step 3: Cross multiply
    360,758,078.40x = 541,137,117.60 × 309,102,013.20
  4. Step 4: Simplify right side
    360,758,078.40x = 167,266,572,467,405,152
  5. Step 5: Solve for x
    x = 167,266,572,467,405,152/360,758,078.40
  6. Step 6: Final answer
    x = 463,653,019.80

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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.