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Finding the Fourth Proportional to 399,405,001.80, 599,173,857.90 and 157,075,811.40

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Solution

The fourth proportional to 399,405,001.80, 599,173,857.90 and 157,075,811.40 is: 235,639,812.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,405,001.80 : 599,173,857.90 = 157,075,811.40 : x
  2. Step 2: Convert to fraction form
    399,405,001.80/599,173,857.90 = 157,075,811.40/x
  3. Step 3: Cross multiply
    399,405,001.80x = 599,173,857.90 × 157,075,811.40
  4. Step 4: Simplify right side
    399,405,001.80x = 94,115,719,899,310,800
  5. Step 5: Solve for x
    x = 94,115,719,899,310,800/399,405,001.80
  6. Step 6: Final answer
    x = 235,639,812.91

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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.