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Finding the Fourth Proportional to 434,034.54, 651,472.65 and 209,553.30

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Solution

The fourth proportional to 434,034.54, 651,472.65 and 209,553.30 is: 314,533.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,034.54 : 651,472.65 = 209,553.30 : x
  2. Step 2: Convert to fraction form
    434,034.54/651,472.65 = 209,553.30/x
  3. Step 3: Cross multiply
    434,034.54x = 651,472.65 × 209,553.30
  4. Step 4: Simplify right side
    434,034.54x = 136,518,243,667.25
  5. Step 5: Solve for x
    x = 136,518,243,667.25/434,034.54
  6. Step 6: Final answer
    x = 314,533.13

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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.