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Finding the Fourth Proportional to 509,403, 702,999.24 and 283,048.50

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Solution

The fourth proportional to 509,403, 702,999.24 and 283,048.50 is: 390,619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,403 : 702,999.24 = 283,048.50 : x
  2. Step 2: Convert to fraction form
    509,403/702,999.24 = 283,048.50/x
  3. Step 3: Cross multiply
    509,403x = 702,999.24 × 283,048.50
  4. Step 4: Simplify right side
    509,403x = 198,982,880,383.14
  5. Step 5: Solve for x
    x = 198,982,880,383.14/509,403
  6. Step 6: Final answer
    x = 390,619.77

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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.