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Finding the Fourth Proportional to 306,389.40, 459,092.02 and 288,674.70

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Solution

The fourth proportional to 306,389.40, 459,092.02 and 288,674.70 is: 432,548.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,389.40 : 459,092.02 = 288,674.70 : x
  2. Step 2: Convert to fraction form
    306,389.40/459,092.02 = 288,674.70/x
  3. Step 3: Cross multiply
    306,389.40x = 459,092.02 × 288,674.70
  4. Step 4: Simplify right side
    306,389.40x = 132,528,251,145.89
  5. Step 5: Solve for x
    x = 132,528,251,145.89/306,389.40
  6. Step 6: Final answer
    x = 432,548.42

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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.