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Finding the Fourth Proportional to 286,715.42, 430,084.06 and 146,310.02

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Solution

The fourth proportional to 286,715.42, 430,084.06 and 146,310.02 is: 219,470.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,715.42 : 430,084.06 = 146,310.02 : x
  2. Step 2: Convert to fraction form
    286,715.42/430,084.06 = 146,310.02/x
  3. Step 3: Cross multiply
    286,715.42x = 430,084.06 × 146,310.02
  4. Step 4: Simplify right side
    286,715.42x = 62,925,604,904.09
  5. Step 5: Solve for x
    x = 62,925,604,904.09/286,715.42
  6. Step 6: Final answer
    x = 219,470.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.