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Finding the Fourth Proportional to 390,309.86, 585,597.71 and 210,412.67

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Solution

The fourth proportional to 390,309.86, 585,597.71 and 210,412.67 is: 315,690.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,309.86 : 585,597.71 = 210,412.67 : x
  2. Step 2: Convert to fraction form
    390,309.86/585,597.71 = 210,412.67/x
  3. Step 3: Cross multiply
    390,309.86x = 585,597.71 × 210,412.67
  4. Step 4: Simplify right side
    390,309.86x = 123,217,178,653.66
  5. Step 5: Solve for x
    x = 123,217,178,653.66/390,309.86
  6. Step 6: Final answer
    x = 315,690.66

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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.