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Finding the Fourth Proportional to 287,746.88, 431,886.52 and 145,692

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Solution

The fourth proportional to 287,746.88, 431,886.52 and 145,692 is: 218,672.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,746.88 : 431,886.52 = 145,692 : x
  2. Step 2: Convert to fraction form
    287,746.88/431,886.52 = 145,692/x
  3. Step 3: Cross multiply
    287,746.88x = 431,886.52 × 145,692
  4. Step 4: Simplify right side
    287,746.88x = 62,922,410,871.84
  5. Step 5: Solve for x
    x = 62,922,410,871.84/287,746.88
  6. Step 6: Final answer
    x = 218,672.78

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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.