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Finding the Fourth Proportional to 600,515.84, 899,978.88 and 319,427.84

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Solution

The fourth proportional to 600,515.84, 899,978.88 and 319,427.84 is: 478,718.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,515.84 : 899,978.88 = 319,427.84 : x
  2. Step 2: Convert to fraction form
    600,515.84/899,978.88 = 319,427.84/x
  3. Step 3: Cross multiply
    600,515.84x = 899,978.88 × 319,427.84
  4. Step 4: Simplify right side
    600,515.84x = 287,478,309,684.02
  5. Step 5: Solve for x
    x = 287,478,309,684.02/600,515.84
  6. Step 6: Final answer
    x = 478,718.95

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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.