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Finding the Fourth Proportional to 583,989, 805,905.90 and 315,717

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Solution

The fourth proportional to 583,989, 805,905.90 and 315,717 is: 435,690.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,989 : 805,905.90 = 315,717 : x
  2. Step 2: Convert to fraction form
    583,989/805,905.90 = 315,717/x
  3. Step 3: Cross multiply
    583,989x = 805,905.90 × 315,717
  4. Step 4: Simplify right side
    583,989x = 254,438,193,030.30
  5. Step 5: Solve for x
    x = 254,438,193,030.30/583,989
  6. Step 6: Final answer
    x = 435,690.04

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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.