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Finding the Fourth Proportional to 390,364.83, 538,707.65 and 229,221.81

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Solution

The fourth proportional to 390,364.83, 538,707.65 and 229,221.81 is: 316,328.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,364.83 : 538,707.65 = 229,221.81 : x
  2. Step 2: Convert to fraction form
    390,364.83/538,707.65 = 229,221.81/x
  3. Step 3: Cross multiply
    390,364.83x = 538,707.65 × 229,221.81
  4. Step 4: Simplify right side
    390,364.83x = 123,483,541,447.74
  5. Step 5: Solve for x
    x = 123,483,541,447.74/390,364.83
  6. Step 6: Final answer
    x = 316,328.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.