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Finding the Fourth Proportional to 459,539.72, 634,221.78 and 258,335.72

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Solution

The fourth proportional to 459,539.72, 634,221.78 and 258,335.72 is: 356,535.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,539.72 : 634,221.78 = 258,335.72 : x
  2. Step 2: Convert to fraction form
    459,539.72/634,221.78 = 258,335.72/x
  3. Step 3: Cross multiply
    459,539.72x = 634,221.78 × 258,335.72
  4. Step 4: Simplify right side
    459,539.72x = 163,842,140,175.98
  5. Step 5: Solve for x
    x = 163,842,140,175.98/459,539.72
  6. Step 6: Final answer
    x = 356,535.32

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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.