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Finding the Fourth Proportional to 290,407,101.30, 406,872,272.70 and 290,407,101.30

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Solution

The fourth proportional to 290,407,101.30, 406,872,272.70 and 290,407,101.30 is: 406,872,272.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,407,101.30 : 406,872,272.70 = 290,407,101.30 : x
  2. Step 2: Convert to fraction form
    290,407,101.30/406,872,272.70 = 290,407,101.30/x
  3. Step 3: Cross multiply
    290,407,101.30x = 406,872,272.70 × 290,407,101.30
  4. Step 4: Simplify right side
    290,407,101.30x = 118,158,597,314,150,128
  5. Step 5: Solve for x
    x = 118,158,597,314,150,128/290,407,101.30
  6. Step 6: Final answer
    x = 406,872,272.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.