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Finding the Fourth Proportional to 489,737.70, 734,606.55 and 411,005.70

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Solution

The fourth proportional to 489,737.70, 734,606.55 and 411,005.70 is: 616,508.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,737.70 : 734,606.55 = 411,005.70 : x
  2. Step 2: Convert to fraction form
    489,737.70/734,606.55 = 411,005.70/x
  3. Step 3: Cross multiply
    489,737.70x = 734,606.55 × 411,005.70
  4. Step 4: Simplify right side
    489,737.70x = 301,927,479,307.34
  5. Step 5: Solve for x
    x = 301,927,479,307.34/489,737.70
  6. Step 6: Final answer
    x = 616,508.55

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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.