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Finding the Fourth Proportional to 583,980, 805,893.12 and 315,708

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Solution

The fourth proportional to 583,980, 805,893.12 and 315,708 is: 435,677.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,980 : 805,893.12 = 315,708 : x
  2. Step 2: Convert to fraction form
    583,980/805,893.12 = 315,708/x
  3. Step 3: Cross multiply
    583,980x = 805,893.12 × 315,708
  4. Step 4: Simplify right side
    583,980x = 254,426,905,128.96
  5. Step 5: Solve for x
    x = 254,426,905,128.96/583,980
  6. Step 6: Final answer
    x = 435,677.43

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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.