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Finding the Fourth Proportional to 583,673.50, 805,469.43 and 315,401.50

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Solution

The fourth proportional to 583,673.50, 805,469.43 and 315,401.50 is: 435,254.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,673.50 : 805,469.43 = 315,401.50 : x
  2. Step 2: Convert to fraction form
    583,673.50/805,469.43 = 315,401.50/x
  3. Step 3: Cross multiply
    583,673.50x = 805,469.43 × 315,401.50
  4. Step 4: Simplify right side
    583,673.50x = 254,046,266,426.15
  5. Step 5: Solve for x
    x = 254,046,266,426.15/583,673.50
  6. Step 6: Final answer
    x = 435,254.07

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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.