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Finding the Fourth Proportional to 509,161.26, 702,664.40 and 282,806.76

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Solution

The fourth proportional to 509,161.26, 702,664.40 and 282,806.76 is: 390,285.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,161.26 : 702,664.40 = 282,806.76 : x
  2. Step 2: Convert to fraction form
    509,161.26/702,664.40 = 282,806.76/x
  3. Step 3: Cross multiply
    509,161.26x = 702,664.40 × 282,806.76
  4. Step 4: Simplify right side
    509,161.26x = 198,718,242,331.34
  5. Step 5: Solve for x
    x = 198,718,242,331.34/509,161.26
  6. Step 6: Final answer
    x = 390,285.47

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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.