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Finding the Fourth Proportional to 286,952.80, 430,234.80 and 152,039.20

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Solution

The fourth proportional to 286,952.80, 430,234.80 and 152,039.20 is: 227,955.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,952.80 : 430,234.80 = 152,039.20 : x
  2. Step 2: Convert to fraction form
    286,952.80/430,234.80 = 152,039.20/x
  3. Step 3: Cross multiply
    286,952.80x = 430,234.80 × 152,039.20
  4. Step 4: Simplify right side
    286,952.80x = 65,412,554,804.16
  5. Step 5: Solve for x
    x = 65,412,554,804.16/286,952.80
  6. Step 6: Final answer
    x = 227,955.80

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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.