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Finding the Fourth Proportional to 284,728, 392,890.53 and 157,386.28

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Solution

The fourth proportional to 284,728, 392,890.53 and 157,386.28 is: 217,174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,728 : 392,890.53 = 157,386.28 : x
  2. Step 2: Convert to fraction form
    284,728/392,890.53 = 157,386.28/x
  3. Step 3: Cross multiply
    284,728x = 392,890.53 × 157,386.28
  4. Step 4: Simplify right side
    284,728x = 61,835,578,963.93
  5. Step 5: Solve for x
    x = 61,835,578,963.93/284,728
  6. Step 6: Final answer
    x = 217,174.21

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1.5x scale

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.