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Finding the Fourth Proportional to 287,803.29, 397,158.73 and 158,746.89

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Solution

The fourth proportional to 287,803.29, 397,158.73 and 158,746.89 is: 219,065.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,803.29 : 397,158.73 = 158,746.89 : x
  2. Step 2: Convert to fraction form
    287,803.29/397,158.73 = 158,746.89/x
  3. Step 3: Cross multiply
    287,803.29x = 397,158.73 × 158,746.89
  4. Step 4: Simplify right side
    287,803.29x = 63,047,713,223.85
  5. Step 5: Solve for x
    x = 63,047,713,223.85/287,803.29
  6. Step 6: Final answer
    x = 219,065.30

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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.