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Finding the Fourth Proportional to 508,574, 701,864.95 and 282,219.50

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Solution

The fourth proportional to 508,574, 701,864.95 and 282,219.50 is: 389,481.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,574 : 701,864.95 = 282,219.50 : x
  2. Step 2: Convert to fraction form
    508,574/701,864.95 = 282,219.50/x
  3. Step 3: Cross multiply
    508,574x = 701,864.95 × 282,219.50
  4. Step 4: Simplify right side
    508,574x = 198,079,975,256.53
  5. Step 5: Solve for x
    x = 198,079,975,256.53/508,574
  6. Step 6: Final answer
    x = 389,481.13

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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.