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Finding the Fourth Proportional to 287,988.64, 397,423.74 and 160,656.64

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Solution

The fourth proportional to 287,988.64, 397,423.74 and 160,656.64 is: 221,705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,988.64 : 397,423.74 = 160,656.64 : x
  2. Step 2: Convert to fraction form
    287,988.64/397,423.74 = 160,656.64/x
  3. Step 3: Cross multiply
    287,988.64x = 397,423.74 × 160,656.64
  4. Step 4: Simplify right side
    287,988.64x = 63,848,762,724.63
  5. Step 5: Solve for x
    x = 63,848,762,724.63/287,988.64
  6. Step 6: Final answer
    x = 221,705.84

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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.