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Finding the Fourth Proportional to 585,270, 807,672.60 and 316,998

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Solution

The fourth proportional to 585,270, 807,672.60 and 316,998 is: 437,457.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,270 : 807,672.60 = 316,998 : x
  2. Step 2: Convert to fraction form
    585,270/807,672.60 = 316,998/x
  3. Step 3: Cross multiply
    585,270x = 807,672.60 × 316,998
  4. Step 4: Simplify right side
    585,270x = 256,030,598,854.80
  5. Step 5: Solve for x
    x = 256,030,598,854.80/585,270
  6. Step 6: Final answer
    x = 437,457.24

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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.