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Finding the Fourth Proportional to 503,875, 695,347.50 and 277,520.50

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Solution

The fourth proportional to 503,875, 695,347.50 and 277,520.50 is: 382,978.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,875 : 695,347.50 = 277,520.50 : x
  2. Step 2: Convert to fraction form
    503,875/695,347.50 = 277,520.50/x
  3. Step 3: Cross multiply
    503,875x = 695,347.50 × 277,520.50
  4. Step 4: Simplify right side
    503,875x = 192,973,185,873.75
  5. Step 5: Solve for x
    x = 192,973,185,873.75/503,875
  6. Step 6: Final answer
    x = 382,978.29

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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.