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Finding the Fourth Proportional to 489,869.76, 734,868 and 337,784.16

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Solution

The fourth proportional to 489,869.76, 734,868 and 337,784.16 is: 506,719.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,869.76 : 734,868 = 337,784.16 : x
  2. Step 2: Convert to fraction form
    489,869.76/734,868 = 337,784.16/x
  3. Step 3: Cross multiply
    489,869.76x = 734,868 × 337,784.16
  4. Step 4: Simplify right side
    489,869.76x = 248,226,770,090.88
  5. Step 5: Solve for x
    x = 248,226,770,090.88/489,869.76
  6. Step 6: Final answer
    x = 506,719.93

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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.