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Finding the Fourth Proportional to 390,988.20, 586,365.30 and 203,897.64

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Solution

The fourth proportional to 390,988.20, 586,365.30 and 203,897.64 is: 305,785.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,988.20 : 586,365.30 = 203,897.64 : x
  2. Step 2: Convert to fraction form
    390,988.20/586,365.30 = 203,897.64/x
  3. Step 3: Cross multiply
    390,988.20x = 586,365.30 × 203,897.64
  4. Step 4: Simplify right side
    390,988.20x = 119,558,500,847.89
  5. Step 5: Solve for x
    x = 119,558,500,847.89/390,988.20
  6. Step 6: Final answer
    x = 305,785.45

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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.