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Finding the Fourth Proportional to 917,713,900.08, 1,375,590,779.53 and 523,391,654.78

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Solution

The fourth proportional to 917,713,900.08, 1,375,590,779.53 and 523,391,654.78 is: 784,528,527.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,713,900.08 : 1,375,590,779.53 = 523,391,654.78 : x
  2. Step 2: Convert to fraction form
    917,713,900.08/1,375,590,779.53 = 523,391,654.78/x
  3. Step 3: Cross multiply
    917,713,900.08x = 1,375,590,779.53 × 523,391,654.78
  4. Step 4: Simplify right side
    917,713,900.08x = 719,972,734,395,288,832
  5. Step 5: Solve for x
    x = 719,972,734,395,288,832/917,713,900.08
  6. Step 6: Final answer
    x = 784,528,527.17

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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.