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Finding the Fourth Proportional to 310,618.53, 427,595.76 and 229,893.93

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Solution

The fourth proportional to 310,618.53, 427,595.76 and 229,893.93 is: 316,470.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,618.53 : 427,595.76 = 229,893.93 : x
  2. Step 2: Convert to fraction form
    310,618.53/427,595.76 = 229,893.93/x
  3. Step 3: Cross multiply
    310,618.53x = 427,595.76 × 229,893.93
  4. Step 4: Simplify right side
    310,618.53x = 98,301,669,717.74
  5. Step 5: Solve for x
    x = 98,301,669,717.74/310,618.53
  6. Step 6: Final answer
    x = 316,470.72

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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.