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Finding the Fourth Proportional to 200,420,014.80, 300,658,015.80 and 85,403,643.60

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Solution

The fourth proportional to 200,420,014.80, 300,658,015.80 and 85,403,643.60 is: 128,117,394.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,420,014.80 : 300,658,015.80 = 85,403,643.60 : x
  2. Step 2: Convert to fraction form
    200,420,014.80/300,658,015.80 = 85,403,643.60/x
  3. Step 3: Cross multiply
    200,420,014.80x = 300,658,015.80 × 85,403,643.60
  4. Step 4: Simplify right side
    200,420,014.80x = 25,677,290,026,866,368
  5. Step 5: Solve for x
    x = 25,677,290,026,866,368/200,420,014.80
  6. Step 6: Final answer
    x = 128,117,394.13

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1.5x scale

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.