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Finding the Fourth Proportional to 390,514.05, 586,003.86 and 174,356

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Solution

The fourth proportional to 390,514.05, 586,003.86 and 174,356 is: 261,637.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,514.05 : 586,003.86 = 174,356 : x
  2. Step 2: Convert to fraction form
    390,514.05/586,003.86 = 174,356/x
  3. Step 3: Cross multiply
    390,514.05x = 586,003.86 × 174,356
  4. Step 4: Simplify right side
    390,514.05x = 102,173,289,014.16
  5. Step 5: Solve for x
    x = 102,173,289,014.16/390,514.05
  6. Step 6: Final answer
    x = 261,637.93

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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.