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Finding the Fourth Proportional to 213,403,486.30, 299,571,096.50 and 213,403,486.30

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Solution

The fourth proportional to 213,403,486.30, 299,571,096.50 and 213,403,486.30 is: 299,571,096.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,403,486.30 : 299,571,096.50 = 213,403,486.30 : x
  2. Step 2: Convert to fraction form
    213,403,486.30/299,571,096.50 = 213,403,486.30/x
  3. Step 3: Cross multiply
    213,403,486.30x = 299,571,096.50 × 213,403,486.30
  4. Step 4: Simplify right side
    213,403,486.30x = 63,929,516,387,813,728
  5. Step 5: Solve for x
    x = 63,929,516,387,813,728/213,403,486.30
  6. Step 6: Final answer
    x = 299,571,096.50

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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.