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Finding the Fourth Proportional to 390,877.60, 586,316.40 and 203,864.80

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Solution

The fourth proportional to 390,877.60, 586,316.40 and 203,864.80 is: 305,797.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,877.60 : 586,316.40 = 203,864.80 : x
  2. Step 2: Convert to fraction form
    390,877.60/586,316.40 = 203,864.80/x
  3. Step 3: Cross multiply
    390,877.60x = 586,316.40 × 203,864.80
  4. Step 4: Simplify right side
    390,877.60x = 119,529,275,622.72
  5. Step 5: Solve for x
    x = 119,529,275,622.72/390,877.60
  6. Step 6: Final answer
    x = 305,797.20

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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.