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Finding the Fourth Proportional to 601,951.78, 830,702.82 and 330,044.50

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Solution

The fourth proportional to 601,951.78, 830,702.82 and 330,044.50 is: 455,466.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,951.78 : 830,702.82 = 330,044.50 : x
  2. Step 2: Convert to fraction form
    601,951.78/830,702.82 = 330,044.50/x
  3. Step 3: Cross multiply
    601,951.78x = 830,702.82 × 330,044.50
  4. Step 4: Simplify right side
    601,951.78x = 274,168,896,875.49
  5. Step 5: Solve for x
    x = 274,168,896,875.49/601,951.78
  6. Step 6: Final answer
    x = 455,466.54

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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.