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Finding the Fourth Proportional to 435,842.84, 654,748.45 and 258,466.20

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Solution

The fourth proportional to 435,842.84, 654,748.45 and 258,466.20 is: 388,282.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,842.84 : 654,748.45 = 258,466.20 : x
  2. Step 2: Convert to fraction form
    435,842.84/654,748.45 = 258,466.20/x
  3. Step 3: Cross multiply
    435,842.84x = 654,748.45 × 258,466.20
  4. Step 4: Simplify right side
    435,842.84x = 169,230,343,827.39
  5. Step 5: Solve for x
    x = 169,230,343,827.39/435,842.84
  6. Step 6: Final answer
    x = 388,282.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.