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Finding the Fourth Proportional to 542,071.17, 748,038.04 and 312,638.06

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Solution

The fourth proportional to 542,071.17, 748,038.04 and 312,638.06 is: 431,428.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,071.17 : 748,038.04 = 312,638.06 : x
  2. Step 2: Convert to fraction form
    542,071.17/748,038.04 = 312,638.06/x
  3. Step 3: Cross multiply
    542,071.17x = 748,038.04 × 312,638.06
  4. Step 4: Simplify right side
    542,071.17x = 233,865,162,720.30
  5. Step 5: Solve for x
    x = 233,865,162,720.30/542,071.17
  6. Step 6: Final answer
    x = 431,428.89

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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.