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Finding the Fourth Proportional to 545,873.54, 753,308.47 and 316,566.78

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Solution

The fourth proportional to 545,873.54, 753,308.47 and 316,566.78 is: 436,863.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,873.54 : 753,308.47 = 316,566.78 : x
  2. Step 2: Convert to fraction form
    545,873.54/753,308.47 = 316,566.78/x
  3. Step 3: Cross multiply
    545,873.54x = 753,308.47 × 316,566.78
  4. Step 4: Simplify right side
    545,873.54x = 238,472,435,357.28
  5. Step 5: Solve for x
    x = 238,472,435,357.28/545,873.54
  6. Step 6: Final answer
    x = 436,863.89

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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.