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Finding the Fourth Proportional to 709,510.73, 978,686.96 and 505,626.98

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Solution

The fourth proportional to 709,510.73, 978,686.96 and 505,626.98 is: 697,453.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,510.73 : 978,686.96 = 505,626.98 : x
  2. Step 2: Convert to fraction form
    709,510.73/978,686.96 = 505,626.98/x
  3. Step 3: Cross multiply
    709,510.73x = 978,686.96 × 505,626.98
  4. Step 4: Simplify right side
    709,510.73x = 494,850,524,528.61
  5. Step 5: Solve for x
    x = 494,850,524,528.61/709,510.73
  6. Step 6: Final answer
    x = 697,453.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.