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Finding the Fourth Proportional to 390,495.69, 585,074.86 and 213,127.15

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Solution

The fourth proportional to 390,495.69, 585,074.86 and 213,127.15 is: 319,325.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,495.69 : 585,074.86 = 213,127.15 : x
  2. Step 2: Convert to fraction form
    390,495.69/585,074.86 = 213,127.15/x
  3. Step 3: Cross multiply
    390,495.69x = 585,074.86 × 213,127.15
  4. Step 4: Simplify right side
    390,495.69x = 124,695,337,448.45
  5. Step 5: Solve for x
    x = 124,695,337,448.45/390,495.69
  6. Step 6: Final answer
    x = 319,325.77

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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.