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Finding the Fourth Proportional to 286,840.81, 430,244.70 and 109,365.76

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Solution

The fourth proportional to 286,840.81, 430,244.70 and 109,365.76 is: 164,042.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,840.81 : 430,244.70 = 109,365.76 : x
  2. Step 2: Convert to fraction form
    286,840.81/430,244.70 = 109,365.76/x
  3. Step 3: Cross multiply
    286,840.81x = 430,244.70 × 109,365.76
  4. Step 4: Simplify right side
    286,840.81x = 47,054,038,601.47
  5. Step 5: Solve for x
    x = 47,054,038,601.47/286,840.81
  6. Step 6: Final answer
    x = 164,042.34

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1.5x scale

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.