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Finding the Fourth Proportional to 525,620.40, 788,488.20 and 509,031.60

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Solution

The fourth proportional to 525,620.40, 788,488.20 and 509,031.60 is: 763,603.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,620.40 : 788,488.20 = 509,031.60 : x
  2. Step 2: Convert to fraction form
    525,620.40/788,488.20 = 509,031.60/x
  3. Step 3: Cross multiply
    525,620.40x = 788,488.20 × 509,031.60
  4. Step 4: Simplify right side
    525,620.40x = 401,365,410,027.12
  5. Step 5: Solve for x
    x = 401,365,410,027.12/525,620.40
  6. Step 6: Final answer
    x = 763,603.18

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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.