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Finding the Fourth Proportional to 287,643.60, 431,141.40 and 137,955.60

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Solution

The fourth proportional to 287,643.60, 431,141.40 and 137,955.60 is: 206,778.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,643.60 : 431,141.40 = 137,955.60 : x
  2. Step 2: Convert to fraction form
    287,643.60/431,141.40 = 137,955.60/x
  3. Step 3: Cross multiply
    287,643.60x = 431,141.40 × 137,955.60
  4. Step 4: Simplify right side
    287,643.60x = 59,478,370,521.84
  5. Step 5: Solve for x
    x = 59,478,370,521.84/287,643.60
  6. Step 6: Final answer
    x = 206,778.01

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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.