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Finding the Fourth Proportional to 583,278, 804,923.64 and 315,006

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Solution

The fourth proportional to 583,278, 804,923.64 and 315,006 is: 434,708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,278 : 804,923.64 = 315,006 : x
  2. Step 2: Convert to fraction form
    583,278/804,923.64 = 315,006/x
  3. Step 3: Cross multiply
    583,278x = 804,923.64 × 315,006
  4. Step 4: Simplify right side
    583,278x = 253,555,776,141.84
  5. Step 5: Solve for x
    x = 253,555,776,141.84/583,278
  6. Step 6: Final answer
    x = 434,708.28

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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.