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Finding the Fourth Proportional to 557,405.76, 769,230.08 and 315,738.51

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Solution

The fourth proportional to 557,405.76, 769,230.08 and 315,738.51 is: 435,724.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,405.76 : 769,230.08 = 315,738.51 : x
  2. Step 2: Convert to fraction form
    557,405.76/769,230.08 = 315,738.51/x
  3. Step 3: Cross multiply
    557,405.76x = 769,230.08 × 315,738.51
  4. Step 4: Simplify right side
    557,405.76x = 242,875,559,306.38
  5. Step 5: Solve for x
    x = 242,875,559,306.38/557,405.76
  6. Step 6: Final answer
    x = 435,724.88

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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.