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Finding the Fourth Proportional to 487,598.94, 731,431.22 and 188,082

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Solution

The fourth proportional to 487,598.94, 731,431.22 and 188,082 is: 282,135.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,598.94 : 731,431.22 = 188,082 : x
  2. Step 2: Convert to fraction form
    487,598.94/731,431.22 = 188,082/x
  3. Step 3: Cross multiply
    487,598.94x = 731,431.22 × 188,082
  4. Step 4: Simplify right side
    487,598.94x = 137,569,045,779.63
  5. Step 5: Solve for x
    x = 137,569,045,779.63/487,598.94
  6. Step 6: Final answer
    x = 282,135.65

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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.