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Finding the Fourth Proportional to 290,495,999.80, 435,743,999.70 and 268,325,068.60

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Solution

The fourth proportional to 290,495,999.80, 435,743,999.70 and 268,325,068.60 is: 402,487,602.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,495,999.80 : 435,743,999.70 = 268,325,068.60 : x
  2. Step 2: Convert to fraction form
    290,495,999.80/435,743,999.70 = 268,325,068.60/x
  3. Step 3: Cross multiply
    290,495,999.80x = 435,743,999.70 × 268,325,068.60
  4. Step 4: Simplify right side
    290,495,999.80x = 116,921,038,611,540,880
  5. Step 5: Solve for x
    x = 116,921,038,611,540,880/290,495,999.80
  6. Step 6: Final answer
    x = 402,487,602.90

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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.