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Finding the Fourth Proportional to 493,663.10, 740,762.55 and 209,513.48

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Solution

The fourth proportional to 493,663.10, 740,762.55 and 209,513.48 is: 314,383.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,663.10 : 740,762.55 = 209,513.48 : x
  2. Step 2: Convert to fraction form
    493,663.10/740,762.55 = 209,513.48/x
  3. Step 3: Cross multiply
    493,663.10x = 740,762.55 × 209,513.48
  4. Step 4: Simplify right side
    493,663.10x = 155,199,736,000.36
  5. Step 5: Solve for x
    x = 155,199,736,000.36/493,663.10
  6. Step 6: Final answer
    x = 314,383.91

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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.