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Finding the Fourth Proportional to 390,354.06, 538,681.59 and 220,584.54

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Solution

The fourth proportional to 390,354.06, 538,681.59 and 220,584.54 is: 304,402.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,354.06 : 538,681.59 = 220,584.54 : x
  2. Step 2: Convert to fraction form
    390,354.06/538,681.59 = 220,584.54/x
  3. Step 3: Cross multiply
    390,354.06x = 538,681.59 × 220,584.54
  4. Step 4: Simplify right side
    390,354.06x = 118,824,830,736.62
  5. Step 5: Solve for x
    x = 118,824,830,736.62/390,354.06
  6. Step 6: Final answer
    x = 304,402.70

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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.