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Finding the Fourth Proportional to 493,157, 680,561.58 and 266,807.36

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Solution

The fourth proportional to 493,157, 680,561.58 and 266,807.36 is: 368,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,157 : 680,561.58 = 266,807.36 : x
  2. Step 2: Convert to fraction form
    493,157/680,561.58 = 266,807.36/x
  3. Step 3: Cross multiply
    493,157x = 680,561.58 × 266,807.36
  4. Step 4: Simplify right side
    493,157x = 181,578,838,477.23
  5. Step 5: Solve for x
    x = 181,578,838,477.23/493,157
  6. Step 6: Final answer
    x = 368,196.82

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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.