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Finding the Fourth Proportional to 559,872,464.80, 839,808,697.20 and 287,774,672.80

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Solution

The fourth proportional to 559,872,464.80, 839,808,697.20 and 287,774,672.80 is: 431,662,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,872,464.80 : 839,808,697.20 = 287,774,672.80 : x
  2. Step 2: Convert to fraction form
    559,872,464.80/839,808,697.20 = 287,774,672.80/x
  3. Step 3: Cross multiply
    559,872,464.80x = 839,808,697.20 × 287,774,672.80
  4. Step 4: Simplify right side
    559,872,464.80x = 241,675,673,051,324,288
  5. Step 5: Solve for x
    x = 241,675,673,051,324,288/559,872,464.80
  6. Step 6: Final answer
    x = 431,662,009.20

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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.