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Finding the Fourth Proportional to 434,909.40, 652,364.10 and 275,477.10

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Solution

The fourth proportional to 434,909.40, 652,364.10 and 275,477.10 is: 413,215.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,909.40 : 652,364.10 = 275,477.10 : x
  2. Step 2: Convert to fraction form
    434,909.40/652,364.10 = 275,477.10/x
  3. Step 3: Cross multiply
    434,909.40x = 652,364.10 × 275,477.10
  4. Step 4: Simplify right side
    434,909.40x = 179,711,370,412.11
  5. Step 5: Solve for x
    x = 179,711,370,412.11/434,909.40
  6. Step 6: Final answer
    x = 413,215.65

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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.