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Finding the Fourth Proportional to 509,370.52, 702,973.02 and 328,459

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Solution

The fourth proportional to 509,370.52, 702,973.02 and 328,459 is: 453,300.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,370.52 : 702,973.02 = 328,459 : x
  2. Step 2: Convert to fraction form
    509,370.52/702,973.02 = 328,459/x
  3. Step 3: Cross multiply
    509,370.52x = 702,973.02 × 328,459
  4. Step 4: Simplify right side
    509,370.52x = 230,897,815,176.18
  5. Step 5: Solve for x
    x = 230,897,815,176.18/509,370.52
  6. Step 6: Final answer
    x = 453,300.31

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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.