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Finding the Fourth Proportional to 407,722.58, 611,341.59 and 155,021.57

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Solution

The fourth proportional to 407,722.58, 611,341.59 and 155,021.57 is: 232,440.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,722.58 : 611,341.59 = 155,021.57 : x
  2. Step 2: Convert to fraction form
    407,722.58/611,341.59 = 155,021.57/x
  3. Step 3: Cross multiply
    407,722.58x = 611,341.59 × 155,021.57
  4. Step 4: Simplify right side
    407,722.58x = 94,771,133,088.10
  5. Step 5: Solve for x
    x = 94,771,133,088.10/407,722.58
  6. Step 6: Final answer
    x = 232,440.24

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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.