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Finding the Fourth Proportional to 647,415.90, 971,123.85 and 489,951.90

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Solution

The fourth proportional to 647,415.90, 971,123.85 and 489,951.90 is: 734,927.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,415.90 : 971,123.85 = 489,951.90 : x
  2. Step 2: Convert to fraction form
    647,415.90/971,123.85 = 489,951.90/x
  3. Step 3: Cross multiply
    647,415.90x = 971,123.85 × 489,951.90
  4. Step 4: Simplify right side
    647,415.90x = 475,803,975,442.82
  5. Step 5: Solve for x
    x = 475,803,975,442.82/647,415.90
  6. Step 6: Final answer
    x = 734,927.85

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1.5x scale

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.