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Finding the Fourth Proportional to 785,661.16, 1,179,008.52 and 430,924

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Solution

The fourth proportional to 785,661.16, 1,179,008.52 and 430,924 is: 646,669.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,661.16 : 1,179,008.52 = 430,924 : x
  2. Step 2: Convert to fraction form
    785,661.16/1,179,008.52 = 430,924/x
  3. Step 3: Cross multiply
    785,661.16x = 1,179,008.52 × 430,924
  4. Step 4: Simplify right side
    785,661.16x = 508,063,067,472.48
  5. Step 5: Solve for x
    x = 508,063,067,472.48/785,661.16
  6. Step 6: Final answer
    x = 646,669.45

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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.