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Finding the Fourth Proportional to 399,405,005.80, 599,173,863.90 and 157,075,815.40

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Solution

The fourth proportional to 399,405,005.80, 599,173,863.90 and 157,075,815.40 is: 235,639,818.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,405,005.80 : 599,173,863.90 = 157,075,815.40 : x
  2. Step 2: Convert to fraction form
    399,405,005.80/599,173,863.90 = 157,075,815.40/x
  3. Step 3: Cross multiply
    399,405,005.80x = 599,173,863.90 × 157,075,815.40
  4. Step 4: Simplify right side
    399,405,005.80x = 94,115,723,238,461,120
  5. Step 5: Solve for x
    x = 94,115,723,238,461,120/399,405,005.80
  6. Step 6: Final answer
    x = 235,639,818.91

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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.