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Finding the Fourth Proportional to 364,064.29, 502,400.15 and 211,129.81

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Solution

The fourth proportional to 364,064.29, 502,400.15 and 211,129.81 is: 291,354.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,064.29 : 502,400.15 = 211,129.81 : x
  2. Step 2: Convert to fraction form
    364,064.29/502,400.15 = 211,129.81/x
  3. Step 3: Cross multiply
    364,064.29x = 502,400.15 × 211,129.81
  4. Step 4: Simplify right side
    364,064.29x = 106,071,645,701.47
  5. Step 5: Solve for x
    x = 106,071,645,701.47/364,064.29
  6. Step 6: Final answer
    x = 291,354.16

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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.