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Finding the Fourth Proportional to 503,707.30, 695,128.53 and 274,277.15

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Solution

The fourth proportional to 503,707.30, 695,128.53 and 274,277.15 is: 378,509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,707.30 : 695,128.53 = 274,277.15 : x
  2. Step 2: Convert to fraction form
    503,707.30/695,128.53 = 274,277.15/x
  3. Step 3: Cross multiply
    503,707.30x = 695,128.53 × 274,277.15
  4. Step 4: Simplify right side
    503,707.30x = 190,657,872,092.09
  5. Step 5: Solve for x
    x = 190,657,872,092.09/503,707.30
  6. Step 6: Final answer
    x = 378,509.25

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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.