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Finding the Fourth Proportional to 499,751.79, 689,486.33 and 407,710.70

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Solution

The fourth proportional to 499,751.79, 689,486.33 and 407,710.70 is: 562,501.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,751.79 : 689,486.33 = 407,710.70 : x
  2. Step 2: Convert to fraction form
    499,751.79/689,486.33 = 407,710.70/x
  3. Step 3: Cross multiply
    499,751.79x = 689,486.33 × 407,710.70
  4. Step 4: Simplify right side
    499,751.79x = 281,110,951,816.58
  5. Step 5: Solve for x
    x = 281,110,951,816.58/499,751.79
  6. Step 6: Final answer
    x = 562,501.14

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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.