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Finding the Fourth Proportional to 385,580.86, 578,489.52 and 172,528.10

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Solution

The fourth proportional to 385,580.86, 578,489.52 and 172,528.10 is: 258,845.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,580.86 : 578,489.52 = 172,528.10 : x
  2. Step 2: Convert to fraction form
    385,580.86/578,489.52 = 172,528.10/x
  3. Step 3: Cross multiply
    385,580.86x = 578,489.52 × 172,528.10
  4. Step 4: Simplify right side
    385,580.86x = 99,805,698,821.15
  5. Step 5: Solve for x
    x = 99,805,698,821.15/385,580.86
  6. Step 6: Final answer
    x = 258,845.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.