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Finding the Fourth Proportional to 686,120.63, 946,846.53 and 417,848.63

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Solution

The fourth proportional to 686,120.63, 946,846.53 and 417,848.63 is: 576,631.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,120.63 : 946,846.53 = 417,848.63 : x
  2. Step 2: Convert to fraction form
    686,120.63/946,846.53 = 417,848.63/x
  3. Step 3: Cross multiply
    686,120.63x = 946,846.53 × 417,848.63
  4. Step 4: Simplify right side
    686,120.63x = 395,638,520,646.52
  5. Step 5: Solve for x
    x = 395,638,520,646.52/686,120.63
  6. Step 6: Final answer
    x = 576,631.14

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Double scale
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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.