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Finding the Fourth Proportional to 470,428.80, 703,915.20 and 346,012.80

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Solution

The fourth proportional to 470,428.80, 703,915.20 and 346,012.80 is: 517,748.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,428.80 : 703,915.20 = 346,012.80 : x
  2. Step 2: Convert to fraction form
    470,428.80/703,915.20 = 346,012.80/x
  3. Step 3: Cross multiply
    470,428.80x = 703,915.20 × 346,012.80
  4. Step 4: Simplify right side
    470,428.80x = 243,563,669,314.56
  5. Step 5: Solve for x
    x = 243,563,669,314.56/470,428.80
  6. Step 6: Final answer
    x = 517,748.21

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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.