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Finding the Fourth Proportional to 507,828, 700,802.75 and 281,473.50

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Solution

The fourth proportional to 507,828, 700,802.75 and 281,473.50 is: 388,433.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,828 : 700,802.75 = 281,473.50 : x
  2. Step 2: Convert to fraction form
    507,828/700,802.75 = 281,473.50/x
  3. Step 3: Cross multiply
    507,828x = 700,802.75 × 281,473.50
  4. Step 4: Simplify right side
    507,828x = 197,257,401,444.76
  5. Step 5: Solve for x
    x = 197,257,401,444.76/507,828
  6. Step 6: Final answer
    x = 388,433.49

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1.5x scale

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.