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Finding the Fourth Proportional to 434,727.20, 609,724 and 434,727.20

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Solution

The fourth proportional to 434,727.20, 609,724 and 434,727.20 is: 609,724

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,727.20 : 609,724 = 434,727.20 : x
  2. Step 2: Convert to fraction form
    434,727.20/609,724 = 434,727.20/x
  3. Step 3: Cross multiply
    434,727.20x = 609,724 × 434,727.20
  4. Step 4: Simplify right side
    434,727.20x = 265,063,607,292.80
  5. Step 5: Solve for x
    x = 265,063,607,292.80/434,727.20
  6. Step 6: Final answer
    x = 609,724

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.