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Finding the Fourth Proportional to 421,925.78, 582,256.59 and 230,937.50

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Solution

The fourth proportional to 421,925.78, 582,256.59 and 230,937.50 is: 318,693.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,925.78 : 582,256.59 = 230,937.50 : x
  2. Step 2: Convert to fraction form
    421,925.78/582,256.59 = 230,937.50/x
  3. Step 3: Cross multiply
    421,925.78x = 582,256.59 × 230,937.50
  4. Step 4: Simplify right side
    421,925.78x = 134,464,881,253.13
  5. Step 5: Solve for x
    x = 134,464,881,253.13/421,925.78
  6. Step 6: Final answer
    x = 318,693.21

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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.