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Finding the Fourth Proportional to 509,484.49, 763,931.53 and 209,626.34

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Solution

The fourth proportional to 509,484.49, 763,931.53 and 209,626.34 is: 314,318.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,484.49 : 763,931.53 = 209,626.34 : x
  2. Step 2: Convert to fraction form
    509,484.49/763,931.53 = 209,626.34/x
  3. Step 3: Cross multiply
    509,484.49x = 763,931.53 × 209,626.34
  4. Step 4: Simplify right side
    509,484.49x = 160,140,170,644.50
  5. Step 5: Solve for x
    x = 160,140,170,644.50/509,484.49
  6. Step 6: Final answer
    x = 314,318.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.