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Finding the Fourth Proportional to 509,172.84, 702,680.76 and 282,818.34

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Solution

The fourth proportional to 509,172.84, 702,680.76 and 282,818.34 is: 390,301.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,172.84 : 702,680.76 = 282,818.34 : x
  2. Step 2: Convert to fraction form
    509,172.84/702,680.76 = 282,818.34/x
  3. Step 3: Cross multiply
    509,172.84x = 702,680.76 × 282,818.34
  4. Step 4: Simplify right side
    509,172.84x = 198,731,006,093.14
  5. Step 5: Solve for x
    x = 198,731,006,093.14/509,172.84
  6. Step 6: Final answer
    x = 390,301.66

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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.