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Finding the Fourth Proportional to 390,498.62, 586,290.02 and 201,094.40

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Solution

The fourth proportional to 390,498.62, 586,290.02 and 201,094.40 is: 301,920.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,498.62 : 586,290.02 = 201,094.40 : x
  2. Step 2: Convert to fraction form
    390,498.62/586,290.02 = 201,094.40/x
  3. Step 3: Cross multiply
    390,498.62x = 586,290.02 × 201,094.40
  4. Step 4: Simplify right side
    390,498.62x = 117,899,638,656.99
  5. Step 5: Solve for x
    x = 117,899,638,656.99/390,498.62
  6. Step 6: Final answer
    x = 301,920.76

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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.