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Finding the Fourth Proportional to 209,892,018.40, 314,838,027.60 and 201,388,962.40

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Solution

The fourth proportional to 209,892,018.40, 314,838,027.60 and 201,388,962.40 is: 302,083,443.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,892,018.40 : 314,838,027.60 = 201,388,962.40 : x
  2. Step 2: Convert to fraction form
    209,892,018.40/314,838,027.60 = 201,388,962.40/x
  3. Step 3: Cross multiply
    209,892,018.40x = 314,838,027.60 × 201,388,962.40
  4. Step 4: Simplify right side
    209,892,018.40x = 63,404,903,702,426,568
  5. Step 5: Solve for x
    x = 63,404,903,702,426,568/209,892,018.40
  6. Step 6: Final answer
    x = 302,083,443.60

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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.