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Finding the Fourth Proportional to 477,164, 715,750.32 and 144,740

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Solution

The fourth proportional to 477,164, 715,750.32 and 144,740 is: 217,111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,164 : 715,750.32 = 144,740 : x
  2. Step 2: Convert to fraction form
    477,164/715,750.32 = 144,740/x
  3. Step 3: Cross multiply
    477,164x = 715,750.32 × 144,740
  4. Step 4: Simplify right side
    477,164x = 103,597,701,316.80
  5. Step 5: Solve for x
    x = 103,597,701,316.80/477,164
  6. Step 6: Final answer
    x = 217,111.31

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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.