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Finding the Fourth Proportional to 585,036, 807,349.68 and 316,764

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Solution

The fourth proportional to 585,036, 807,349.68 and 316,764 is: 437,134.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,036 : 807,349.68 = 316,764 : x
  2. Step 2: Convert to fraction form
    585,036/807,349.68 = 316,764/x
  3. Step 3: Cross multiply
    585,036x = 807,349.68 × 316,764
  4. Step 4: Simplify right side
    585,036x = 255,739,314,035.52
  5. Step 5: Solve for x
    x = 255,739,314,035.52/585,036
  6. Step 6: Final answer
    x = 437,134.32

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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.