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Finding the Fourth Proportional to 284,802.54, 392,970.61 and 157,453.50

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Solution

The fourth proportional to 284,802.54, 392,970.61 and 157,453.50 is: 217,254.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,802.54 : 392,970.61 = 157,453.50 : x
  2. Step 2: Convert to fraction form
    284,802.54/392,970.61 = 157,453.50/x
  3. Step 3: Cross multiply
    284,802.54x = 392,970.61 × 157,453.50
  4. Step 4: Simplify right side
    284,802.54x = 61,874,597,941.64
  5. Step 5: Solve for x
    x = 61,874,597,941.64/284,802.54
  6. Step 6: Final answer
    x = 217,254.38

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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.