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Finding the Fourth Proportional to 200,208,314.60, 280,896,302.20 and 200,208,314.60

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Solution

The fourth proportional to 200,208,314.60, 280,896,302.20 and 200,208,314.60 is: 280,896,302.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,208,314.60 : 280,896,302.20 = 200,208,314.60 : x
  2. Step 2: Convert to fraction form
    200,208,314.60/280,896,302.20 = 200,208,314.60/x
  3. Step 3: Cross multiply
    200,208,314.60x = 280,896,302.20 × 200,208,314.60
  4. Step 4: Simplify right side
    200,208,314.60x = 56,237,775,240,834,272
  5. Step 5: Solve for x
    x = 56,237,775,240,834,272/200,208,314.60
  6. Step 6: Final answer
    x = 280,896,302.20

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1.5x scale

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.