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Finding the Fourth Proportional to 286,853.76, 429,688.80 and 168,164.64

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Solution

The fourth proportional to 286,853.76, 429,688.80 and 168,164.64 is: 251,900.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,853.76 : 429,688.80 = 168,164.64 : x
  2. Step 2: Convert to fraction form
    286,853.76/429,688.80 = 168,164.64/x
  3. Step 3: Cross multiply
    286,853.76x = 429,688.80 × 168,164.64
  4. Step 4: Simplify right side
    286,853.76x = 72,258,462,364.03
  5. Step 5: Solve for x
    x = 72,258,462,364.03/286,853.76
  6. Step 6: Final answer
    x = 251,900.00

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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.