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Finding the Fourth Proportional to 459,868.60, 634,630.98 and 278,542

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Solution

The fourth proportional to 459,868.60, 634,630.98 and 278,542 is: 384,395.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,868.60 : 634,630.98 = 278,542 : x
  2. Step 2: Convert to fraction form
    459,868.60/634,630.98 = 278,542/x
  3. Step 3: Cross multiply
    459,868.60x = 634,630.98 × 278,542
  4. Step 4: Simplify right side
    459,868.60x = 176,771,382,431.16
  5. Step 5: Solve for x
    x = 176,771,382,431.16/459,868.60
  6. Step 6: Final answer
    x = 384,395.42

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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.