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Finding the Fourth Proportional to 658,889.30, 989,500.35 and 509,492.90

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Solution

The fourth proportional to 658,889.30, 989,500.35 and 509,492.90 is: 765,141.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,889.30 : 989,500.35 = 509,492.90 : x
  2. Step 2: Convert to fraction form
    658,889.30/989,500.35 = 509,492.90/x
  3. Step 3: Cross multiply
    658,889.30x = 989,500.35 × 509,492.90
  4. Step 4: Simplify right side
    658,889.30x = 504,143,402,872.52
  5. Step 5: Solve for x
    x = 504,143,402,872.52/658,889.30
  6. Step 6: Final answer
    x = 765,141.28

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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.