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Finding the Fourth Proportional to 390,112.95, 585,315.23 and 153,620.49

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Solution

The fourth proportional to 390,112.95, 585,315.23 and 153,620.49 is: 230,488.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,112.95 : 585,315.23 = 153,620.49 : x
  2. Step 2: Convert to fraction form
    390,112.95/585,315.23 = 153,620.49/x
  3. Step 3: Cross multiply
    390,112.95x = 585,315.23 × 153,620.49
  4. Step 4: Simplify right side
    390,112.95x = 89,916,411,668.96
  5. Step 5: Solve for x
    x = 89,916,411,668.96/390,112.95
  6. Step 6: Final answer
    x = 230,488.15

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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.