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Finding the Fourth Proportional to 493,678.94, 740,543.78 and 138,720.63

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Solution

The fourth proportional to 493,678.94, 740,543.78 and 138,720.63 is: 208,088.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,678.94 : 740,543.78 = 138,720.63 : x
  2. Step 2: Convert to fraction form
    493,678.94/740,543.78 = 138,720.63/x
  3. Step 3: Cross multiply
    493,678.94x = 740,543.78 × 138,720.63
  4. Step 4: Simplify right side
    493,678.94x = 102,728,702,828.02
  5. Step 5: Solve for x
    x = 102,728,702,828.02/493,678.94
  6. Step 6: Final answer
    x = 208,088.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.