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Finding the Fourth Proportional to 648,492.57, 894,904.88 and 362,039.31

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Solution

The fourth proportional to 648,492.57, 894,904.88 and 362,039.31 is: 499,605.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,492.57 : 894,904.88 = 362,039.31 : x
  2. Step 2: Convert to fraction form
    648,492.57/894,904.88 = 362,039.31/x
  3. Step 3: Cross multiply
    648,492.57x = 894,904.88 × 362,039.31
  4. Step 4: Simplify right side
    648,492.57x = 323,990,743,460.64
  5. Step 5: Solve for x
    x = 323,990,743,460.64/648,492.57
  6. Step 6: Final answer
    x = 499,605.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.