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Finding the Fourth Proportional to 459,869.60, 634,632.36 and 278,543

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Solution

The fourth proportional to 459,869.60, 634,632.36 and 278,543 is: 384,396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,869.60 : 634,632.36 = 278,543 : x
  2. Step 2: Convert to fraction form
    459,869.60/634,632.36 = 278,543/x
  3. Step 3: Cross multiply
    459,869.60x = 634,632.36 × 278,543
  4. Step 4: Simplify right side
    459,869.60x = 176,772,401,451.48
  5. Step 5: Solve for x
    x = 176,772,401,451.48/459,869.60
  6. Step 6: Final answer
    x = 384,396.80

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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.