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Finding the Fourth Proportional to 489,877.68, 734,863 and 190,381.40

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Solution

The fourth proportional to 489,877.68, 734,863 and 190,381.40 is: 285,590.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,877.68 : 734,863 = 190,381.40 : x
  2. Step 2: Convert to fraction form
    489,877.68/734,863 = 190,381.40/x
  3. Step 3: Cross multiply
    489,877.68x = 734,863 × 190,381.40
  4. Step 4: Simplify right side
    489,877.68x = 139,904,246,748.20
  5. Step 5: Solve for x
    x = 139,904,246,748.20/489,877.68
  6. Step 6: Final answer
    x = 285,590.16

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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.