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Finding the Fourth Proportional to 585,040, 807,355.20 and 316,768

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Solution

The fourth proportional to 585,040, 807,355.20 and 316,768 is: 437,139.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,040 : 807,355.20 = 316,768 : x
  2. Step 2: Convert to fraction form
    585,040/807,355.20 = 316,768/x
  3. Step 3: Cross multiply
    585,040x = 807,355.20 × 316,768
  4. Step 4: Simplify right side
    585,040x = 255,744,291,993.60
  5. Step 5: Solve for x
    x = 255,744,291,993.60/585,040
  6. Step 6: Final answer
    x = 437,139.84

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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.