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Finding the Fourth Proportional to 415,038.98, 572,806 and 233,785.28

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Solution

The fourth proportional to 415,038.98, 572,806 and 233,785.28 is: 322,653.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,038.98 : 572,806 = 233,785.28 : x
  2. Step 2: Convert to fraction form
    415,038.98/572,806 = 233,785.28/x
  3. Step 3: Cross multiply
    415,038.98x = 572,806 × 233,785.28
  4. Step 4: Simplify right side
    415,038.98x = 133,913,611,095.68
  5. Step 5: Solve for x
    x = 133,913,611,095.68/415,038.98
  6. Step 6: Final answer
    x = 322,653.09

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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.