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Finding the Fourth Proportional to 513,000.20, 719,971.75 and 513,000.20

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Solution

The fourth proportional to 513,000.20, 719,971.75 and 513,000.20 is: 719,971.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,000.20 : 719,971.75 = 513,000.20 : x
  2. Step 2: Convert to fraction form
    513,000.20/719,971.75 = 513,000.20/x
  3. Step 3: Cross multiply
    513,000.20x = 719,971.75 × 513,000.20
  4. Step 4: Simplify right side
    513,000.20x = 369,345,651,744.35
  5. Step 5: Solve for x
    x = 369,345,651,744.35/513,000.20
  6. Step 6: Final answer
    x = 719,971.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.