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Finding the Fourth Proportional to 583,200, 804,816 and 314,928

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Solution

The fourth proportional to 583,200, 804,816 and 314,928 is: 434,600.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,200 : 804,816 = 314,928 : x
  2. Step 2: Convert to fraction form
    583,200/804,816 = 314,928/x
  3. Step 3: Cross multiply
    583,200x = 804,816 × 314,928
  4. Step 4: Simplify right side
    583,200x = 253,459,093,248
  5. Step 5: Solve for x
    x = 253,459,093,248/583,200
  6. Step 6: Final answer
    x = 434,600.64

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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.