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Finding the Fourth Proportional to 421,780.17, 631,875.65 and 208,298.19

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Solution

The fourth proportional to 421,780.17, 631,875.65 and 208,298.19 is: 312,054.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,780.17 : 631,875.65 = 208,298.19 : x
  2. Step 2: Convert to fraction form
    421,780.17/631,875.65 = 208,298.19/x
  3. Step 3: Cross multiply
    421,780.17x = 631,875.65 × 208,298.19
  4. Step 4: Simplify right side
    421,780.17x = 131,618,553,158.58
  5. Step 5: Solve for x
    x = 131,618,553,158.58/421,780.17
  6. Step 6: Final answer
    x = 312,054.86

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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.