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Finding the Fourth Proportional to 529,009.65, 730,115.78 and 299,578.77

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Solution

The fourth proportional to 529,009.65, 730,115.78 and 299,578.77 is: 413,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,009.65 : 730,115.78 = 299,578.77 : x
  2. Step 2: Convert to fraction form
    529,009.65/730,115.78 = 299,578.77/x
  3. Step 3: Cross multiply
    529,009.65x = 730,115.78 × 299,578.77
  4. Step 4: Simplify right side
    529,009.65x = 218,727,185,832.10
  5. Step 5: Solve for x
    x = 218,727,185,832.10/529,009.65
  6. Step 6: Final answer
    x = 413,465.40

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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.