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Finding the Fourth Proportional to 421,335.47, 581,442.91 and 230,348.81

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Solution

The fourth proportional to 421,335.47, 581,442.91 and 230,348.81 is: 317,881.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,335.47 : 581,442.91 = 230,348.81 : x
  2. Step 2: Convert to fraction form
    421,335.47/581,442.91 = 230,348.81/x
  3. Step 3: Cross multiply
    421,335.47x = 581,442.91 × 230,348.81
  4. Step 4: Simplify right side
    421,335.47x = 133,934,683,279.17
  5. Step 5: Solve for x
    x = 133,934,683,279.17/421,335.47
  6. Step 6: Final answer
    x = 317,881.34

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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.