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Finding the Fourth Proportional to 529,490.23, 730,802.79 and 314,588.92

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Solution

The fourth proportional to 529,490.23, 730,802.79 and 314,588.92 is: 434,195.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,490.23 : 730,802.79 = 314,588.92 : x
  2. Step 2: Convert to fraction form
    529,490.23/730,802.79 = 314,588.92/x
  3. Step 3: Cross multiply
    529,490.23x = 730,802.79 × 314,588.92
  4. Step 4: Simplify right side
    529,490.23x = 229,902,460,439.09
  5. Step 5: Solve for x
    x = 229,902,460,439.09/529,490.23
  6. Step 6: Final answer
    x = 434,195.85

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1.5x scale

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.