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Finding the Fourth Proportional to 266,936,703.40, 400,405,055.10 and 209,605,810.60

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Solution

The fourth proportional to 266,936,703.40, 400,405,055.10 and 209,605,810.60 is: 314,408,715.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,936,703.40 : 400,405,055.10 = 209,605,810.60 : x
  2. Step 2: Convert to fraction form
    266,936,703.40/400,405,055.10 = 209,605,810.60/x
  3. Step 3: Cross multiply
    266,936,703.40x = 400,405,055.10 × 209,605,810.60
  4. Step 4: Simplify right side
    266,936,703.40x = 83,927,226,142,573,168
  5. Step 5: Solve for x
    x = 83,927,226,142,573,168/266,936,703.40
  6. Step 6: Final answer
    x = 314,408,715.90

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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.