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Finding the Fourth Proportional to 525,235.23, 787,902.39 and 407,038.95

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Solution

The fourth proportional to 525,235.23, 787,902.39 and 407,038.95 is: 610,596.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,235.23 : 787,902.39 = 407,038.95 : x
  2. Step 2: Convert to fraction form
    525,235.23/787,902.39 = 407,038.95/x
  3. Step 3: Cross multiply
    525,235.23x = 787,902.39 × 407,038.95
  4. Step 4: Simplify right side
    525,235.23x = 320,706,961,528.09
  5. Step 5: Solve for x
    x = 320,706,961,528.09/525,235.23
  6. Step 6: Final answer
    x = 610,596.82

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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.