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Finding the Fourth Proportional to 525,694.40, 788,656.80 and 259,582.40

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Solution

The fourth proportional to 525,694.40, 788,656.80 and 259,582.40 is: 389,430.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,694.40 : 788,656.80 = 259,582.40 : x
  2. Step 2: Convert to fraction form
    525,694.40/788,656.80 = 259,582.40/x
  3. Step 3: Cross multiply
    525,694.40x = 788,656.80 × 259,582.40
  4. Step 4: Simplify right side
    525,694.40x = 204,721,424,920.32
  5. Step 5: Solve for x
    x = 204,721,424,920.32/525,694.40
  6. Step 6: Final answer
    x = 389,430.48

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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.