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Finding the Fourth Proportional to 509,419.70, 702,999.29 and 283,065.20

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Solution

The fourth proportional to 509,419.70, 702,999.29 and 283,065.20 is: 390,630.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,419.70 : 702,999.29 = 283,065.20 : x
  2. Step 2: Convert to fraction form
    509,419.70/702,999.29 = 283,065.20/x
  3. Step 3: Cross multiply
    509,419.70x = 702,999.29 × 283,065.20
  4. Step 4: Simplify right side
    509,419.70x = 198,994,634,623.71
  5. Step 5: Solve for x
    x = 198,994,634,623.71/509,419.70
  6. Step 6: Final answer
    x = 390,630.03

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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.