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Finding the Fourth Proportional to 788,385,269.22, 1,087,978,720.91 and 435,984,970.65

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Solution

The fourth proportional to 788,385,269.22, 1,087,978,720.91 and 435,984,970.65 is: 601,663,157.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,385,269.22 : 1,087,978,720.91 = 435,984,970.65 : x
  2. Step 2: Convert to fraction form
    788,385,269.22/1,087,978,720.91 = 435,984,970.65/x
  3. Step 3: Cross multiply
    788,385,269.22x = 1,087,978,720.91 × 435,984,970.65
  4. Step 4: Simplify right side
    788,385,269.22x = 474,342,370,701,590,912
  5. Step 5: Solve for x
    x = 474,342,370,701,590,912/788,385,269.22
  6. Step 6: Final answer
    x = 601,663,157.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.