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Finding the Fourth Proportional to 560,278, 840,424.29 and 186,301

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Solution

The fourth proportional to 560,278, 840,424.29 and 186,301 is: 279,453.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,278 : 840,424.29 = 186,301 : x
  2. Step 2: Convert to fraction form
    560,278/840,424.29 = 186,301/x
  3. Step 3: Cross multiply
    560,278x = 840,424.29 × 186,301
  4. Step 4: Simplify right side
    560,278x = 156,571,885,651.29
  5. Step 5: Solve for x
    x = 156,571,885,651.29/560,278
  6. Step 6: Final answer
    x = 279,453.92

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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.