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Finding the Fourth Proportional to 509,223.17, 763,829.89 and 309,598.67

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Solution

The fourth proportional to 509,223.17, 763,829.89 and 309,598.67 is: 464,395.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,223.17 : 763,829.89 = 309,598.67 : x
  2. Step 2: Convert to fraction form
    509,223.17/763,829.89 = 309,598.67/x
  3. Step 3: Cross multiply
    509,223.17x = 763,829.89 × 309,598.67
  4. Step 4: Simplify right side
    509,223.17x = 236,480,713,457.10
  5. Step 5: Solve for x
    x = 236,480,713,457.10/509,223.17
  6. Step 6: Final answer
    x = 464,395.04

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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.