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Finding the Fourth Proportional to 284,048.93, 391,987.23 and 156,724.51

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Solution

The fourth proportional to 284,048.93, 391,987.23 and 156,724.51 is: 216,279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,048.93 : 391,987.23 = 156,724.51 : x
  2. Step 2: Convert to fraction form
    284,048.93/391,987.23 = 156,724.51/x
  3. Step 3: Cross multiply
    284,048.93x = 391,987.23 × 156,724.51
  4. Step 4: Simplify right side
    284,048.93x = 61,434,006,548.01
  5. Step 5: Solve for x
    x = 61,434,006,548.01/284,048.93
  6. Step 6: Final answer
    x = 216,279.66

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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.