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Finding the Fourth Proportional to 346,716.80, 520,075.20 and 313,539.20

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Solution

The fourth proportional to 346,716.80, 520,075.20 and 313,539.20 is: 470,308.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,716.80 : 520,075.20 = 313,539.20 : x
  2. Step 2: Convert to fraction form
    346,716.80/520,075.20 = 313,539.20/x
  3. Step 3: Cross multiply
    346,716.80x = 520,075.20 × 313,539.20
  4. Step 4: Simplify right side
    346,716.80x = 163,063,962,147.84
  5. Step 5: Solve for x
    x = 163,063,962,147.84/346,716.80
  6. Step 6: Final answer
    x = 470,308.80

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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.