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Finding the Fourth Proportional to 685,934.86, 946,596.76 and 380,017.76

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Solution

The fourth proportional to 685,934.86, 946,596.76 and 380,017.76 is: 524,428.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,934.86 : 946,596.76 = 380,017.76 : x
  2. Step 2: Convert to fraction form
    685,934.86/946,596.76 = 380,017.76/x
  3. Step 3: Cross multiply
    685,934.86x = 946,596.76 × 380,017.76
  4. Step 4: Simplify right side
    685,934.86x = 359,723,580,358.46
  5. Step 5: Solve for x
    x = 359,723,580,358.46/685,934.86
  6. Step 6: Final answer
    x = 524,428.19

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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.