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Finding the Fourth Proportional to 577,024.52, 865,636.40 and 257,289.98

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Solution

The fourth proportional to 577,024.52, 865,636.40 and 257,289.98 is: 385,979.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,024.52 : 865,636.40 = 257,289.98 : x
  2. Step 2: Convert to fraction form
    577,024.52/865,636.40 = 257,289.98/x
  3. Step 3: Cross multiply
    577,024.52x = 865,636.40 × 257,289.98
  4. Step 4: Simplify right side
    577,024.52x = 222,719,572,043.27
  5. Step 5: Solve for x
    x = 222,719,572,043.27/577,024.52
  6. Step 6: Final answer
    x = 385,979.39

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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.