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Finding the Fourth Proportional to 586,180.80, 808,934.64 and 317,908.80

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Solution

The fourth proportional to 586,180.80, 808,934.64 and 317,908.80 is: 438,716.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,180.80 : 808,934.64 = 317,908.80 : x
  2. Step 2: Convert to fraction form
    586,180.80/808,934.64 = 317,908.80/x
  3. Step 3: Cross multiply
    586,180.80x = 808,934.64 × 317,908.80
  4. Step 4: Simplify right side
    586,180.80x = 257,167,440,680.83
  5. Step 5: Solve for x
    x = 257,167,440,680.83/586,180.80
  6. Step 6: Final answer
    x = 438,716.93

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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.