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Finding the Fourth Proportional to 286,980.40, 430,276.20 and 146,623.60

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Solution

The fourth proportional to 286,980.40, 430,276.20 and 146,623.60 is: 219,836.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,980.40 : 430,276.20 = 146,623.60 : x
  2. Step 2: Convert to fraction form
    286,980.40/430,276.20 = 146,623.60/x
  3. Step 3: Cross multiply
    286,980.40x = 430,276.20 × 146,623.60
  4. Step 4: Simplify right side
    286,980.40x = 63,088,645,438.32
  5. Step 5: Solve for x
    x = 63,088,645,438.32/286,980.40
  6. Step 6: Final answer
    x = 219,836.08

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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.