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Finding the Fourth Proportional to 463,615,376.80, 695,423,065.20 and 456,449,015.20

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Solution

The fourth proportional to 463,615,376.80, 695,423,065.20 and 456,449,015.20 is: 684,673,522.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,615,376.80 : 695,423,065.20 = 456,449,015.20 : x
  2. Step 2: Convert to fraction form
    463,615,376.80/695,423,065.20 = 456,449,015.20/x
  3. Step 3: Cross multiply
    463,615,376.80x = 695,423,065.20 × 456,449,015.20
  4. Step 4: Simplify right side
    463,615,376.80x = 317,425,173,257,905,408
  5. Step 5: Solve for x
    x = 317,425,173,257,905,408/463,615,376.80
  6. Step 6: Final answer
    x = 684,673,522.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.