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Finding the Fourth Proportional to 391,013.94, 586,935.66 and 346,325.40

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Solution

The fourth proportional to 391,013.94, 586,935.66 and 346,325.40 is: 519,855.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,013.94 : 586,935.66 = 346,325.40 : x
  2. Step 2: Convert to fraction form
    391,013.94/586,935.66 = 346,325.40/x
  3. Step 3: Cross multiply
    391,013.94x = 586,935.66 × 346,325.40
  4. Step 4: Simplify right side
    391,013.94x = 203,270,727,223.76
  5. Step 5: Solve for x
    x = 203,270,727,223.76/391,013.94
  6. Step 6: Final answer
    x = 519,855.45

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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.