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Finding the Fourth Proportional to 507,722.40, 700,684.80 and 281,363.04

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Solution

The fourth proportional to 507,722.40, 700,684.80 and 281,363.04 is: 388,296.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,722.40 : 700,684.80 = 281,363.04 : x
  2. Step 2: Convert to fraction form
    507,722.40/700,684.80 = 281,363.04/x
  3. Step 3: Cross multiply
    507,722.40x = 700,684.80 × 281,363.04
  4. Step 4: Simplify right side
    507,722.40x = 197,146,805,409.79
  5. Step 5: Solve for x
    x = 197,146,805,409.79/507,722.40
  6. Step 6: Final answer
    x = 388,296.45

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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.