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Finding the Fourth Proportional to 583,230, 804,857.40 and 314,958

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Solution

The fourth proportional to 583,230, 804,857.40 and 314,958 is: 434,642.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,230 : 804,857.40 = 314,958 : x
  2. Step 2: Convert to fraction form
    583,230/804,857.40 = 314,958/x
  3. Step 3: Cross multiply
    583,230x = 804,857.40 × 314,958
  4. Step 4: Simplify right side
    583,230x = 253,496,276,989.20
  5. Step 5: Solve for x
    x = 253,496,276,989.20/583,230
  6. Step 6: Final answer
    x = 434,642.04

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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.