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Finding the Fourth Proportional to 586,092, 808,806.96 and 317,820

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Solution

The fourth proportional to 586,092, 808,806.96 and 317,820 is: 438,591.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,092 : 808,806.96 = 317,820 : x
  2. Step 2: Convert to fraction form
    586,092/808,806.96 = 317,820/x
  3. Step 3: Cross multiply
    586,092x = 808,806.96 × 317,820
  4. Step 4: Simplify right side
    586,092x = 257,055,028,027.20
  5. Step 5: Solve for x
    x = 257,055,028,027.20/586,092
  6. Step 6: Final answer
    x = 438,591.60

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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.