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Finding the Fourth Proportional to 287,938.40, 397,352.28 and 158,878.04

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Solution

The fourth proportional to 287,938.40, 397,352.28 and 158,878.04 is: 219,250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,938.40 : 397,352.28 = 158,878.04 : x
  2. Step 2: Convert to fraction form
    287,938.40/397,352.28 = 158,878.04/x
  3. Step 3: Cross multiply
    287,938.40x = 397,352.28 × 158,878.04
  4. Step 4: Simplify right side
    287,938.40x = 63,130,551,435.93
  5. Step 5: Solve for x
    x = 63,130,551,435.93/287,938.40
  6. Step 6: Final answer
    x = 219,250.20

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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.