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Finding the Fourth Proportional to 513,903.02, 770,542.40 and 257,437.34

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Solution

The fourth proportional to 513,903.02, 770,542.40 and 257,437.34 is: 385,999.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,903.02 : 770,542.40 = 257,437.34 : x
  2. Step 2: Convert to fraction form
    513,903.02/770,542.40 = 257,437.34/x
  3. Step 3: Cross multiply
    513,903.02x = 770,542.40 × 257,437.34
  4. Step 4: Simplify right side
    513,903.02x = 198,366,385,493.63
  5. Step 5: Solve for x
    x = 198,366,385,493.63/513,903.02
  6. Step 6: Final answer
    x = 385,999.65

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1.5x scale

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.