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Finding the Fourth Proportional to 586,055, 808,756.32 and 317,783

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Solution

The fourth proportional to 586,055, 808,756.32 and 317,783 is: 438,540.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,055 : 808,756.32 = 317,783 : x
  2. Step 2: Convert to fraction form
    586,055/808,756.32 = 317,783/x
  3. Step 3: Cross multiply
    586,055x = 808,756.32 × 317,783
  4. Step 4: Simplify right side
    586,055x = 257,009,009,638.56
  5. Step 5: Solve for x
    x = 257,009,009,638.56/586,055
  6. Step 6: Final answer
    x = 438,540.77

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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.