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Finding the Fourth Proportional to 459,860.48, 634,600.96 and 258,656

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Solution

The fourth proportional to 459,860.48, 634,600.96 and 258,656 is: 356,941.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,860.48 : 634,600.96 = 258,656 : x
  2. Step 2: Convert to fraction form
    459,860.48/634,600.96 = 258,656/x
  3. Step 3: Cross multiply
    459,860.48x = 634,600.96 × 258,656
  4. Step 4: Simplify right side
    459,860.48x = 164,143,345,909.76
  5. Step 5: Solve for x
    x = 164,143,345,909.76/459,860.48
  6. Step 6: Final answer
    x = 356,941.62

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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.