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Finding the Fourth Proportional to 210,705.71, 291,008.59 and 194,762.48

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Solution

The fourth proportional to 210,705.71, 291,008.59 and 194,762.48 is: 268,989.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,705.71 : 291,008.59 = 194,762.48 : x
  2. Step 2: Convert to fraction form
    210,705.71/291,008.59 = 194,762.48/x
  3. Step 3: Cross multiply
    210,705.71x = 291,008.59 × 194,762.48
  4. Step 4: Simplify right side
    210,705.71x = 56,677,554,689.70
  5. Step 5: Solve for x
    x = 56,677,554,689.70/210,705.71
  6. Step 6: Final answer
    x = 268,989.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.