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Finding the Fourth Proportional to 390,530.64, 538,828.92 and 229,334.16

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Solution

The fourth proportional to 390,530.64, 538,828.92 and 229,334.16 is: 316,420.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,530.64 : 538,828.92 = 229,334.16 : x
  2. Step 2: Convert to fraction form
    390,530.64/538,828.92 = 229,334.16/x
  3. Step 3: Cross multiply
    390,530.64x = 538,828.92 × 229,334.16
  4. Step 4: Simplify right side
    390,530.64x = 123,571,877,751.91
  5. Step 5: Solve for x
    x = 123,571,877,751.91/390,530.64
  6. Step 6: Final answer
    x = 316,420.44

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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.