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Finding the Fourth Proportional to 576,842.76, 865,363.86 and 257,108.40

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Solution

The fourth proportional to 576,842.76, 865,363.86 and 257,108.40 is: 385,707.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,842.76 : 865,363.86 = 257,108.40 : x
  2. Step 2: Convert to fraction form
    576,842.76/865,363.86 = 257,108.40/x
  3. Step 3: Cross multiply
    576,842.76x = 865,363.86 × 257,108.40
  4. Step 4: Simplify right side
    576,842.76x = 222,492,317,462.42
  5. Step 5: Solve for x
    x = 222,492,317,462.42/576,842.76
  6. Step 6: Final answer
    x = 385,707.05

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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.