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Finding the Fourth Proportional to 313,957.96, 470,953.29 and 103,612.30

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Solution

The fourth proportional to 313,957.96, 470,953.29 and 103,612.30 is: 155,423.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,957.96 : 470,953.29 = 103,612.30 : x
  2. Step 2: Convert to fraction form
    313,957.96/470,953.29 = 103,612.30/x
  3. Step 3: Cross multiply
    313,957.96x = 470,953.29 × 103,612.30
  4. Step 4: Simplify right side
    313,957.96x = 48,796,553,569.47
  5. Step 5: Solve for x
    x = 48,796,553,569.47/313,957.96
  6. Step 6: Final answer
    x = 155,423.85

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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.