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Finding the Fourth Proportional to 523,759.71, 785,515 and 144,672.05

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Solution

The fourth proportional to 523,759.71, 785,515 and 144,672.05 is: 216,973.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,759.71 : 785,515 = 144,672.05 : x
  2. Step 2: Convert to fraction form
    523,759.71/785,515 = 144,672.05/x
  3. Step 3: Cross multiply
    523,759.71x = 785,515 × 144,672.05
  4. Step 4: Simplify right side
    523,759.71x = 113,642,065,355.75
  5. Step 5: Solve for x
    x = 113,642,065,355.75/523,759.71
  6. Step 6: Final answer
    x = 216,973.67

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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.