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Finding the Fourth Proportional to 266,934,892.40, 400,402,338.60 and 209,603,999.60

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Solution

The fourth proportional to 266,934,892.40, 400,402,338.60 and 209,603,999.60 is: 314,405,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,934,892.40 : 400,402,338.60 = 209,603,999.60 : x
  2. Step 2: Convert to fraction form
    266,934,892.40/400,402,338.60 = 209,603,999.60/x
  3. Step 3: Cross multiply
    266,934,892.40x = 400,402,338.60 × 209,603,999.60
  4. Step 4: Simplify right side
    266,934,892.40x = 83,925,931,619,753,472
  5. Step 5: Solve for x
    x = 83,925,931,619,753,472/266,934,892.40
  6. Step 6: Final answer
    x = 314,405,999.40

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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.