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Finding the Fourth Proportional to 402,079.40, 603,119.10 and 384,364.70

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Solution

The fourth proportional to 402,079.40, 603,119.10 and 384,364.70 is: 576,547.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,079.40 : 603,119.10 = 384,364.70 : x
  2. Step 2: Convert to fraction form
    402,079.40/603,119.10 = 384,364.70/x
  3. Step 3: Cross multiply
    402,079.40x = 603,119.10 × 384,364.70
  4. Step 4: Simplify right side
    402,079.40x = 231,817,691,935.77
  5. Step 5: Solve for x
    x = 231,817,691,935.77/402,079.40
  6. Step 6: Final answer
    x = 576,547.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.