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Finding the Fourth Proportional to 462,881.72, 638,746.64 and 258,897.30

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Solution

The fourth proportional to 462,881.72, 638,746.64 and 258,897.30 is: 357,261.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,881.72 : 638,746.64 = 258,897.30 : x
  2. Step 2: Convert to fraction form
    462,881.72/638,746.64 = 258,897.30/x
  3. Step 3: Cross multiply
    462,881.72x = 638,746.64 × 258,897.30
  4. Step 4: Simplify right side
    462,881.72x = 165,369,780,480.07
  5. Step 5: Solve for x
    x = 165,369,780,480.07/462,881.72
  6. Step 6: Final answer
    x = 357,261.42

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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.