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Finding the Fourth Proportional to 390,970.58, 586,504.16 and 138,198.93

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Solution

The fourth proportional to 390,970.58, 586,504.16 and 138,198.93 is: 207,315.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,970.58 : 586,504.16 = 138,198.93 : x
  2. Step 2: Convert to fraction form
    390,970.58/586,504.16 = 138,198.93/x
  3. Step 3: Cross multiply
    390,970.58x = 586,504.16 × 138,198.93
  4. Step 4: Simplify right side
    390,970.58x = 81,054,246,661.55
  5. Step 5: Solve for x
    x = 81,054,246,661.55/390,970.58
  6. Step 6: Final answer
    x = 207,315.47

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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.