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Finding the Fourth Proportional to 291,456,561.60, 437,184,842.40 and 76,045,809.60

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Solution

The fourth proportional to 291,456,561.60, 437,184,842.40 and 76,045,809.60 is: 114,068,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,456,561.60 : 437,184,842.40 = 76,045,809.60 : x
  2. Step 2: Convert to fraction form
    291,456,561.60/437,184,842.40 = 76,045,809.60/x
  3. Step 3: Cross multiply
    291,456,561.60x = 437,184,842.40 × 76,045,809.60
  4. Step 4: Simplify right side
    291,456,561.60x = 33,246,075,285,156,404
  5. Step 5: Solve for x
    x = 33,246,075,285,156,404/291,456,561.60
  6. Step 6: Final answer
    x = 114,068,714.40

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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.