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Finding the Fourth Proportional to 268,939,903.40, 403,409,855.10 and 266,924,364.20

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Solution

The fourth proportional to 268,939,903.40, 403,409,855.10 and 266,924,364.20 is: 400,386,546.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,939,903.40 : 403,409,855.10 = 266,924,364.20 : x
  2. Step 2: Convert to fraction form
    268,939,903.40/403,409,855.10 = 266,924,364.20/x
  3. Step 3: Cross multiply
    268,939,903.40x = 403,409,855.10 × 266,924,364.20
  4. Step 4: Simplify right side
    268,939,903.40x = 107,679,919,084,581,632
  5. Step 5: Solve for x
    x = 107,679,919,084,581,632/268,939,903.40
  6. Step 6: Final answer
    x = 400,386,546.30

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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.