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Finding the Fourth Proportional to 390,970.63, 586,504.23 and 138,199.02

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Solution

The fourth proportional to 390,970.63, 586,504.23 and 138,199.02 is: 207,315.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,970.63 : 586,504.23 = 138,199.02 : x
  2. Step 2: Convert to fraction form
    390,970.63/586,504.23 = 138,199.02/x
  3. Step 3: Cross multiply
    390,970.63x = 586,504.23 × 138,199.02
  4. Step 4: Simplify right side
    390,970.63x = 81,054,309,811.85
  5. Step 5: Solve for x
    x = 81,054,309,811.85/390,970.63
  6. Step 6: Final answer
    x = 207,315.60

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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.