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Finding the Fourth Proportional to 290,567,361.60, 435,852,617.04 and 86,097,208.32

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Solution

The fourth proportional to 290,567,361.60, 435,852,617.04 and 86,097,208.32 is: 129,146,279.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,567,361.60 : 435,852,617.04 = 86,097,208.32 : x
  2. Step 2: Convert to fraction form
    290,567,361.60/435,852,617.04 = 86,097,208.32/x
  3. Step 3: Cross multiply
    290,567,361.60x = 435,852,617.04 × 86,097,208.32
  4. Step 4: Simplify right side
    290,567,361.60x = 37,525,693,566,110,064
  5. Step 5: Solve for x
    x = 37,525,693,566,110,064/290,567,361.60
  6. Step 6: Final answer
    x = 129,146,279.06

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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.