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Finding the Fourth Proportional to 477,246, 715,873.32 and 144,822

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Solution

The fourth proportional to 477,246, 715,873.32 and 144,822 is: 217,234.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,246 : 715,873.32 = 144,822 : x
  2. Step 2: Convert to fraction form
    477,246/715,873.32 = 144,822/x
  3. Step 3: Cross multiply
    477,246x = 715,873.32 × 144,822
  4. Step 4: Simplify right side
    477,246x = 103,674,205,949.04
  5. Step 5: Solve for x
    x = 103,674,205,949.04/477,246
  6. Step 6: Final answer
    x = 217,234.31

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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.