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Finding the Fourth Proportional to 523,542.51, 785,336.28 and 163,720.17

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Solution

The fourth proportional to 523,542.51, 785,336.28 and 163,720.17 is: 245,587.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,542.51 : 785,336.28 = 163,720.17 : x
  2. Step 2: Convert to fraction form
    523,542.51/785,336.28 = 163,720.17/x
  3. Step 3: Cross multiply
    523,542.51x = 785,336.28 × 163,720.17
  4. Step 4: Simplify right side
    523,542.51x = 128,575,389,268.77
  5. Step 5: Solve for x
    x = 128,575,389,268.77/523,542.51
  6. Step 6: Final answer
    x = 245,587.30

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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.