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Finding the Fourth Proportional to 378,071,378.80, 565,973,327.40 and 224,638,457.20

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Solution

The fourth proportional to 378,071,378.80, 565,973,327.40 and 224,638,457.20 is: 336,284,051.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,071,378.80 : 565,973,327.40 = 224,638,457.20 : x
  2. Step 2: Convert to fraction form
    378,071,378.80/565,973,327.40 = 224,638,457.20/x
  3. Step 3: Cross multiply
    378,071,378.80x = 565,973,327.40 × 224,638,457.20
  4. Step 4: Simplify right side
    378,071,378.80x = 127,139,375,083,486,480
  5. Step 5: Solve for x
    x = 127,139,375,083,486,480/378,071,378.80
  6. Step 6: Final answer
    x = 336,284,051.67

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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.