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Finding the Fourth Proportional to 585,228.40, 807,615.18 and 316,956.40

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Solution

The fourth proportional to 585,228.40, 807,615.18 and 316,956.40 is: 437,399.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,228.40 : 807,615.18 = 316,956.40 : x
  2. Step 2: Convert to fraction form
    585,228.40/807,615.18 = 316,956.40/x
  3. Step 3: Cross multiply
    585,228.40x = 807,615.18 × 316,956.40
  4. Step 4: Simplify right side
    585,228.40x = 255,978,800,038.15
  5. Step 5: Solve for x
    x = 255,978,800,038.15/585,228.40
  6. Step 6: Final answer
    x = 437,399.83

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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.