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Finding the Fourth Proportional to 465,370.84, 699,106.02 and 278,513.56

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Solution

The fourth proportional to 465,370.84, 699,106.02 and 278,513.56 is: 418,398.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,370.84 : 699,106.02 = 278,513.56 : x
  2. Step 2: Convert to fraction form
    465,370.84/699,106.02 = 278,513.56/x
  3. Step 3: Cross multiply
    465,370.84x = 699,106.02 × 278,513.56
  4. Step 4: Simplify right side
    465,370.84x = 194,710,506,447.63
  5. Step 5: Solve for x
    x = 194,710,506,447.63/465,370.84
  6. Step 6: Final answer
    x = 418,398.60

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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.