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Finding the Fourth Proportional to 289,881.18, 434,946.96 and 156,855.18

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Solution

The fourth proportional to 289,881.18, 434,946.96 and 156,855.18 is: 235,350.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,881.18 : 434,946.96 = 156,855.18 : x
  2. Step 2: Convert to fraction form
    289,881.18/434,946.96 = 156,855.18/x
  3. Step 3: Cross multiply
    289,881.18x = 434,946.96 × 156,855.18
  4. Step 4: Simplify right side
    289,881.18x = 68,223,683,701.25
  5. Step 5: Solve for x
    x = 68,223,683,701.25/289,881.18
  6. Step 6: Final answer
    x = 235,350.51

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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.