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Finding the Fourth Proportional to 200,496,642.80, 300,702,973.80 and 98,333,999.60

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Solution

The fourth proportional to 200,496,642.80, 300,702,973.80 and 98,333,999.60 is: 147,480,405.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,496,642.80 : 300,702,973.80 = 98,333,999.60 : x
  2. Step 2: Convert to fraction form
    200,496,642.80/300,702,973.80 = 98,333,999.60/x
  3. Step 3: Cross multiply
    200,496,642.80x = 300,702,973.80 × 98,333,999.60
  4. Step 4: Simplify right side
    200,496,642.80x = 29,569,326,105,368,008
  5. Step 5: Solve for x
    x = 29,569,326,105,368,008/200,496,642.80
  6. Step 6: Final answer
    x = 147,480,405.12

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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.