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Finding the Fourth Proportional to 459,697.68, 634,187.88 and 280,746

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Solution

The fourth proportional to 459,697.68, 634,187.88 and 280,746 is: 387,310.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,697.68 : 634,187.88 = 280,746 : x
  2. Step 2: Convert to fraction form
    459,697.68/634,187.88 = 280,746/x
  3. Step 3: Cross multiply
    459,697.68x = 634,187.88 × 280,746
  4. Step 4: Simplify right side
    459,697.68x = 178,045,710,558.48
  5. Step 5: Solve for x
    x = 178,045,710,558.48/459,697.68
  6. Step 6: Final answer
    x = 387,310.44

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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.