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Finding the Fourth Proportional to 426,539.95, 640,007.75 and 186,622.25

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Solution

The fourth proportional to 426,539.95, 640,007.75 and 186,622.25 is: 280,019.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,539.95 : 640,007.75 = 186,622.25 : x
  2. Step 2: Convert to fraction form
    426,539.95/640,007.75 = 186,622.25/x
  3. Step 3: Cross multiply
    426,539.95x = 640,007.75 × 186,622.25
  4. Step 4: Simplify right side
    426,539.95x = 119,439,686,989.35
  5. Step 5: Solve for x
    x = 119,439,686,989.35/426,539.95
  6. Step 6: Final answer
    x = 280,019.93

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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.