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Finding the Fourth Proportional to 397,095, 595,642.50 and 101,607

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Solution

The fourth proportional to 397,095, 595,642.50 and 101,607 is: 152,410.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,095 : 595,642.50 = 101,607 : x
  2. Step 2: Convert to fraction form
    397,095/595,642.50 = 101,607/x
  3. Step 3: Cross multiply
    397,095x = 595,642.50 × 101,607
  4. Step 4: Simplify right side
    397,095x = 60,521,447,497.50
  5. Step 5: Solve for x
    x = 60,521,447,497.50/397,095
  6. Step 6: Final answer
    x = 152,410.50

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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.