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Finding the Fourth Proportional to 285,535.80, 428,303.70 and 152,825.40

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Solution

The fourth proportional to 285,535.80, 428,303.70 and 152,825.40 is: 229,238.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,535.80 : 428,303.70 = 152,825.40 : x
  2. Step 2: Convert to fraction form
    285,535.80/428,303.70 = 152,825.40/x
  3. Step 3: Cross multiply
    285,535.80x = 428,303.70 × 152,825.40
  4. Step 4: Simplify right side
    285,535.80x = 65,455,684,273.98
  5. Step 5: Solve for x
    x = 65,455,684,273.98/285,535.80
  6. Step 6: Final answer
    x = 229,238.10

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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.