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Finding the Fourth Proportional to 510,438.80, 764,802.84 and 360,430.04

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Solution

The fourth proportional to 510,438.80, 764,802.84 and 360,430.04 is: 540,041.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,438.80 : 764,802.84 = 360,430.04 : x
  2. Step 2: Convert to fraction form
    510,438.80/764,802.84 = 360,430.04/x
  3. Step 3: Cross multiply
    510,438.80x = 764,802.84 × 360,430.04
  4. Step 4: Simplify right side
    510,438.80x = 275,657,918,213.31
  5. Step 5: Solve for x
    x = 275,657,918,213.31/510,438.80
  6. Step 6: Final answer
    x = 540,041.07

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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.