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Finding the Fourth Proportional to 585,126, 807,473.88 and 316,854

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Solution

The fourth proportional to 585,126, 807,473.88 and 316,854 is: 437,258.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,126 : 807,473.88 = 316,854 : x
  2. Step 2: Convert to fraction form
    585,126/807,473.88 = 316,854/x
  3. Step 3: Cross multiply
    585,126x = 807,473.88 × 316,854
  4. Step 4: Simplify right side
    585,126x = 255,851,328,773.52
  5. Step 5: Solve for x
    x = 255,851,328,773.52/585,126
  6. Step 6: Final answer
    x = 437,258.52

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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.