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Finding the Fourth Proportional to 503,948.55, 695,422.74 and 312,957.84

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Solution

The fourth proportional to 503,948.55, 695,422.74 and 312,957.84 is: 431,865.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,948.55 : 695,422.74 = 312,957.84 : x
  2. Step 2: Convert to fraction form
    503,948.55/695,422.74 = 312,957.84/x
  3. Step 3: Cross multiply
    503,948.55x = 695,422.74 × 312,957.84
  4. Step 4: Simplify right side
    503,948.55x = 217,637,998,597.28
  5. Step 5: Solve for x
    x = 217,637,998,597.28/503,948.55
  6. Step 6: Final answer
    x = 431,865.51

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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.