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Finding the Fourth Proportional to 508,233.93, 701,349.98 and 290,428.74

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Solution

The fourth proportional to 508,233.93, 701,349.98 and 290,428.74 is: 400,784.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,233.93 : 701,349.98 = 290,428.74 : x
  2. Step 2: Convert to fraction form
    508,233.93/701,349.98 = 290,428.74/x
  3. Step 3: Cross multiply
    508,233.93x = 701,349.98 × 290,428.74
  4. Step 4: Simplify right side
    508,233.93x = 203,692,189,538.28
  5. Step 5: Solve for x
    x = 203,692,189,538.28/508,233.93
  6. Step 6: Final answer
    x = 400,784.32

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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.