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Finding the Fourth Proportional to 509,400.50, 702,995.79 and 283,046

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Solution

The fourth proportional to 509,400.50, 702,995.79 and 283,046 is: 390,616.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,400.50 : 702,995.79 = 283,046 : x
  2. Step 2: Convert to fraction form
    509,400.50/702,995.79 = 283,046/x
  3. Step 3: Cross multiply
    509,400.50x = 702,995.79 × 283,046
  4. Step 4: Simplify right side
    509,400.50x = 198,980,146,376.34
  5. Step 5: Solve for x
    x = 198,980,146,376.34/509,400.50
  6. Step 6: Final answer
    x = 390,616.32

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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.