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Finding the Fourth Proportional to 284,689.95, 392,872.23 and 157,365.51

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Solution

The fourth proportional to 284,689.95, 392,872.23 and 157,365.51 is: 217,164.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,689.95 : 392,872.23 = 157,365.51 : x
  2. Step 2: Convert to fraction form
    284,689.95/392,872.23 = 157,365.51/x
  3. Step 3: Cross multiply
    284,689.95x = 392,872.23 × 157,365.51
  4. Step 4: Simplify right side
    284,689.95x = 61,824,538,838.79
  5. Step 5: Solve for x
    x = 61,824,538,838.79/284,689.95
  6. Step 6: Final answer
    x = 217,164.46

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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.