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Finding the Fourth Proportional to 509,420.70, 703,000.67 and 283,066.20

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Solution

The fourth proportional to 509,420.70, 703,000.67 and 283,066.20 is: 390,631.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,420.70 : 703,000.67 = 283,066.20 : x
  2. Step 2: Convert to fraction form
    509,420.70/703,000.67 = 283,066.20/x
  3. Step 3: Cross multiply
    509,420.70x = 703,000.67 × 283,066.20
  4. Step 4: Simplify right side
    509,420.70x = 198,995,728,254.35
  5. Step 5: Solve for x
    x = 198,995,728,254.35/509,420.70
  6. Step 6: Final answer
    x = 390,631.41

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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.