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Finding the Fourth Proportional to 586,695.12, 809,639.28 and 318,423.12

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Solution

The fourth proportional to 586,695.12, 809,639.28 and 318,423.12 is: 439,423.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,695.12 : 809,639.28 = 318,423.12 : x
  2. Step 2: Convert to fraction form
    586,695.12/809,639.28 = 318,423.12/x
  3. Step 3: Cross multiply
    586,695.12x = 809,639.28 × 318,423.12
  4. Step 4: Simplify right side
    586,695.12x = 257,807,865,612.15
  5. Step 5: Solve for x
    x = 257,807,865,612.15/586,695.12
  6. Step 6: Final answer
    x = 439,423.91

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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.