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Finding the Fourth Proportional to 284,054.93, 391,995.51 and 156,730.51

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Solution

The fourth proportional to 284,054.93, 391,995.51 and 156,730.51 is: 216,287.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,054.93 : 391,995.51 = 156,730.51 : x
  2. Step 2: Convert to fraction form
    284,054.93/391,995.51 = 156,730.51/x
  3. Step 3: Cross multiply
    284,054.93x = 391,995.51 × 156,730.51
  4. Step 4: Simplify right side
    284,054.93x = 61,437,656,200.01
  5. Step 5: Solve for x
    x = 61,437,656,200.01/284,054.93
  6. Step 6: Final answer
    x = 216,287.94

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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.