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Finding the Fourth Proportional to 525,006.40, 788,287.20 and 406,811.20

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Solution

The fourth proportional to 525,006.40, 788,287.20 and 406,811.20 is: 610,819.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,006.40 : 788,287.20 = 406,811.20 : x
  2. Step 2: Convert to fraction form
    525,006.40/788,287.20 = 406,811.20/x
  3. Step 3: Cross multiply
    525,006.40x = 788,287.20 × 406,811.20
  4. Step 4: Simplify right side
    525,006.40x = 320,684,061,776.64
  5. Step 5: Solve for x
    x = 320,684,061,776.64/525,006.40
  6. Step 6: Final answer
    x = 610,819.34

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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.