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Finding the Fourth Proportional to 513,702.38, 770,558.76 and 229,407.40

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Solution

The fourth proportional to 513,702.38, 770,558.76 and 229,407.40 is: 344,113.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,702.38 : 770,558.76 = 229,407.40 : x
  2. Step 2: Convert to fraction form
    513,702.38/770,558.76 = 229,407.40/x
  3. Step 3: Cross multiply
    513,702.38x = 770,558.76 × 229,407.40
  4. Step 4: Simplify right side
    513,702.38x = 176,771,881,678.82
  5. Step 5: Solve for x
    x = 176,771,881,678.82/513,702.38
  6. Step 6: Final answer
    x = 344,113.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.