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Finding the Fourth Proportional to 509,417.70, 702,996.53 and 283,063.20

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Solution

The fourth proportional to 509,417.70, 702,996.53 and 283,063.20 is: 390,627.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,417.70 : 702,996.53 = 283,063.20 : x
  2. Step 2: Convert to fraction form
    509,417.70/702,996.53 = 283,063.20/x
  3. Step 3: Cross multiply
    509,417.70x = 702,996.53 × 283,063.20
  4. Step 4: Simplify right side
    509,417.70x = 198,992,447,370.70
  5. Step 5: Solve for x
    x = 198,992,447,370.70/509,417.70
  6. Step 6: Final answer
    x = 390,627.27

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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.