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Finding the Fourth Proportional to 290,335,093.80, 435,502,640.70 and 288,319,554.60

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Solution

The fourth proportional to 290,335,093.80, 435,502,640.70 and 288,319,554.60 is: 432,479,331.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,335,093.80 : 435,502,640.70 = 288,319,554.60 : x
  2. Step 2: Convert to fraction form
    290,335,093.80/435,502,640.70 = 288,319,554.60/x
  3. Step 3: Cross multiply
    290,335,093.80x = 435,502,640.70 × 288,319,554.60
  4. Step 4: Simplify right side
    290,335,093.80x = 125,563,927,393,747,840
  5. Step 5: Solve for x
    x = 125,563,927,393,747,840/290,335,093.80
  6. Step 6: Final answer
    x = 432,479,331.90

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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.