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Finding the Fourth Proportional to 618,302,270.40, 927,453,405.60 and 209,358,420.90

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Solution

The fourth proportional to 618,302,270.40, 927,453,405.60 and 209,358,420.90 is: 314,037,631.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,302,270.40 : 927,453,405.60 = 209,358,420.90 : x
  2. Step 2: Convert to fraction form
    618,302,270.40/927,453,405.60 = 209,358,420.90/x
  3. Step 3: Cross multiply
    618,302,270.40x = 927,453,405.60 × 209,358,420.90
  4. Step 4: Simplify right side
    618,302,270.40x = 194,170,180,454,743,232
  5. Step 5: Solve for x
    x = 194,170,180,454,743,232/618,302,270.40
  6. Step 6: Final answer
    x = 314,037,631.35

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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.