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Finding the Fourth Proportional to 489,045.40, 734,000.10 and 289,115.80

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Solution

The fourth proportional to 489,045.40, 734,000.10 and 289,115.80 is: 433,929.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,045.40 : 734,000.10 = 289,115.80 : x
  2. Step 2: Convert to fraction form
    489,045.40/734,000.10 = 289,115.80/x
  3. Step 3: Cross multiply
    489,045.40x = 734,000.10 × 289,115.80
  4. Step 4: Simplify right side
    489,045.40x = 212,211,026,111.58
  5. Step 5: Solve for x
    x = 212,211,026,111.58/489,045.40
  6. Step 6: Final answer
    x = 433,929.09

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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.