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Finding the Fourth Proportional to 390,703.22, 586,054.84 and 257,552.34

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Solution

The fourth proportional to 390,703.22, 586,054.84 and 257,552.34 is: 386,328.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,703.22 : 586,054.84 = 257,552.34 : x
  2. Step 2: Convert to fraction form
    390,703.22/586,054.84 = 257,552.34/x
  3. Step 3: Cross multiply
    390,703.22x = 586,054.84 × 257,552.34
  4. Step 4: Simplify right side
    390,703.22x = 150,939,795,410.33
  5. Step 5: Solve for x
    x = 150,939,795,410.33/390,703.22
  6. Step 6: Final answer
    x = 386,328.52

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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.