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Finding the Fourth Proportional to 390,041.69, 585,174.01 and 230,263.40

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Solution

The fourth proportional to 390,041.69, 585,174.01 and 230,263.40 is: 345,460.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,041.69 : 585,174.01 = 230,263.40 : x
  2. Step 2: Convert to fraction form
    390,041.69/585,174.01 = 230,263.40/x
  3. Step 3: Cross multiply
    390,041.69x = 585,174.01 × 230,263.40
  4. Step 4: Simplify right side
    390,041.69x = 134,744,157,134.23
  5. Step 5: Solve for x
    x = 134,744,157,134.23/390,041.69
  6. Step 6: Final answer
    x = 345,460.91

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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.