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Finding the Fourth Proportional to 455,871.40, 683,807.10 and 429,627.40

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Solution

The fourth proportional to 455,871.40, 683,807.10 and 429,627.40 is: 644,441.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,871.40 : 683,807.10 = 429,627.40 : x
  2. Step 2: Convert to fraction form
    455,871.40/683,807.10 = 429,627.40/x
  3. Step 3: Cross multiply
    455,871.40x = 683,807.10 × 429,627.40
  4. Step 4: Simplify right side
    455,871.40x = 293,782,266,474.54
  5. Step 5: Solve for x
    x = 293,782,266,474.54/455,871.40
  6. Step 6: Final answer
    x = 644,441.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.