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Finding the Fourth Proportional to 458,731, 633,048.78 and 257,527

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Solution

The fourth proportional to 458,731, 633,048.78 and 257,527 is: 355,387.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,731 : 633,048.78 = 257,527 : x
  2. Step 2: Convert to fraction form
    458,731/633,048.78 = 257,527/x
  3. Step 3: Cross multiply
    458,731x = 633,048.78 × 257,527
  4. Step 4: Simplify right side
    458,731x = 163,027,153,167.06
  5. Step 5: Solve for x
    x = 163,027,153,167.06/458,731
  6. Step 6: Final answer
    x = 355,387.26

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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.