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Finding the Fourth Proportional to 576,804.76, 865,306.78 and 257,070.22

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Solution

The fourth proportional to 576,804.76, 865,306.78 and 257,070.22 is: 385,649.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,804.76 : 865,306.78 = 257,070.22 : x
  2. Step 2: Convert to fraction form
    576,804.76/865,306.78 = 257,070.22/x
  3. Step 3: Cross multiply
    576,804.76x = 865,306.78 × 257,070.22
  4. Step 4: Simplify right side
    576,804.76x = 222,444,604,302.09
  5. Step 5: Solve for x
    x = 222,444,604,302.09/576,804.76
  6. Step 6: Final answer
    x = 385,649.74

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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.