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Finding the Fourth Proportional to 525,124.40, 788,269.80 and 288,928.40

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Solution

The fourth proportional to 525,124.40, 788,269.80 and 288,928.40 is: 433,713.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,124.40 : 788,269.80 = 288,928.40 : x
  2. Step 2: Convert to fraction form
    525,124.40/788,269.80 = 288,928.40/x
  3. Step 3: Cross multiply
    525,124.40x = 788,269.80 × 288,928.40
  4. Step 4: Simplify right side
    525,124.40x = 227,753,532,082.32
  5. Step 5: Solve for x
    x = 227,753,532,082.32/525,124.40
  6. Step 6: Final answer
    x = 433,713.48

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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.