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Finding the Fourth Proportional to 594,406.40, 820,267.20 and 339,742.40

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Solution

The fourth proportional to 594,406.40, 820,267.20 and 339,742.40 is: 468,836.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,406.40 : 820,267.20 = 339,742.40 : x
  2. Step 2: Convert to fraction form
    594,406.40/820,267.20 = 339,742.40/x
  3. Step 3: Cross multiply
    594,406.40x = 820,267.20 × 339,742.40
  4. Step 4: Simplify right side
    594,406.40x = 278,679,547,169.28
  5. Step 5: Solve for x
    x = 278,679,547,169.28/594,406.40
  6. Step 6: Final answer
    x = 468,836.72

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1.5x scale

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.