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Finding the Fourth Proportional to 640,214.64, 960,365.76 and 190,900.98

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Solution

The fourth proportional to 640,214.64, 960,365.76 and 190,900.98 is: 286,364.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,214.64 : 960,365.76 = 190,900.98 : x
  2. Step 2: Convert to fraction form
    640,214.64/960,365.76 = 190,900.98/x
  3. Step 3: Cross multiply
    640,214.64x = 960,365.76 × 190,900.98
  4. Step 4: Simplify right side
    640,214.64x = 183,334,764,742.45
  5. Step 5: Solve for x
    x = 183,334,764,742.45/640,214.64
  6. Step 6: Final answer
    x = 286,364.53

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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.