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Finding the Fourth Proportional to 686,102.13, 946,820.93 and 417,830.13

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Solution

The fourth proportional to 686,102.13, 946,820.93 and 417,830.13 is: 576,605.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,102.13 : 946,820.93 = 417,830.13 : x
  2. Step 2: Convert to fraction form
    686,102.13/946,820.93 = 417,830.13/x
  3. Step 3: Cross multiply
    686,102.13x = 946,820.93 × 417,830.13
  4. Step 4: Simplify right side
    686,102.13x = 395,610,312,268.62
  5. Step 5: Solve for x
    x = 395,610,312,268.62/686,102.13
  6. Step 6: Final answer
    x = 576,605.57

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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.