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Finding the Fourth Proportional to 509,373.98, 702,936.24 and 283,019.48

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Solution

The fourth proportional to 509,373.98, 702,936.24 and 283,019.48 is: 390,566.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,373.98 : 702,936.24 = 283,019.48 : x
  2. Step 2: Convert to fraction form
    509,373.98/702,936.24 = 283,019.48/x
  3. Step 3: Cross multiply
    509,373.98x = 702,936.24 × 283,019.48
  4. Step 4: Simplify right side
    509,373.98x = 198,944,649,117.96
  5. Step 5: Solve for x
    x = 198,944,649,117.96/509,373.98
  6. Step 6: Final answer
    x = 390,566.96

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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.