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Finding the Fourth Proportional to 902,791, 1,245,851.76 and 500,383

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Solution

The fourth proportional to 902,791, 1,245,851.76 and 500,383 is: 690,528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,791 : 1,245,851.76 = 500,383 : x
  2. Step 2: Convert to fraction form
    902,791/1,245,851.76 = 500,383/x
  3. Step 3: Cross multiply
    902,791x = 1,245,851.76 × 500,383
  4. Step 4: Simplify right side
    902,791x = 623,403,041,224.08
  5. Step 5: Solve for x
    x = 623,403,041,224.08/902,791
  6. Step 6: Final answer
    x = 690,528.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.