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Finding the Fourth Proportional to 390,651.92, 586,036.37 and 141,392.24

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Solution

The fourth proportional to 390,651.92, 586,036.37 and 141,392.24 is: 212,109.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,651.92 : 586,036.37 = 141,392.24 : x
  2. Step 2: Convert to fraction form
    390,651.92/586,036.37 = 141,392.24/x
  3. Step 3: Cross multiply
    390,651.92x = 586,036.37 × 141,392.24
  4. Step 4: Simplify right side
    390,651.92x = 82,860,995,075.77
  5. Step 5: Solve for x
    x = 82,860,995,075.77/390,651.92
  6. Step 6: Final answer
    x = 212,109.53

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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.