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Finding the Fourth Proportional to 291,889.84, 402,807.81 and 157,753.84

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Solution

The fourth proportional to 291,889.84, 402,807.81 and 157,753.84 is: 217,700.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,889.84 : 402,807.81 = 157,753.84 : x
  2. Step 2: Convert to fraction form
    291,889.84/402,807.81 = 157,753.84/x
  3. Step 3: Cross multiply
    291,889.84x = 402,807.81 × 157,753.84
  4. Step 4: Simplify right side
    291,889.84x = 63,544,478,809.49
  5. Step 5: Solve for x
    x = 63,544,478,809.49/291,889.84
  6. Step 6: Final answer
    x = 217,700.21

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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.