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Finding the Fourth Proportional to 284,606.34, 392,764.88 and 155,551.98

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Solution

The fourth proportional to 284,606.34, 392,764.88 and 155,551.98 is: 214,666.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,606.34 : 392,764.88 = 155,551.98 : x
  2. Step 2: Convert to fraction form
    284,606.34/392,764.88 = 155,551.98/x
  3. Step 3: Cross multiply
    284,606.34x = 392,764.88 × 155,551.98
  4. Step 4: Simplify right side
    284,606.34x = 61,095,353,980.70
  5. Step 5: Solve for x
    x = 61,095,353,980.70/284,606.34
  6. Step 6: Final answer
    x = 214,666.17

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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.