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Finding the Fourth Proportional to 391,590.14, 540,381.64 and 230,454

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Solution

The fourth proportional to 391,590.14, 540,381.64 and 230,454 is: 318,019.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,590.14 : 540,381.64 = 230,454 : x
  2. Step 2: Convert to fraction form
    391,590.14/540,381.64 = 230,454/x
  3. Step 3: Cross multiply
    391,590.14x = 540,381.64 × 230,454
  4. Step 4: Simplify right side
    391,590.14x = 124,533,110,464.56
  5. Step 5: Solve for x
    x = 124,533,110,464.56/391,590.14
  6. Step 6: Final answer
    x = 318,019.01

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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.