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Finding the Fourth Proportional to 314,041.77, 433,279.89 and 178,065

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Solution

The fourth proportional to 314,041.77, 433,279.89 and 178,065 is: 245,674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,041.77 : 433,279.89 = 178,065 : x
  2. Step 2: Convert to fraction form
    314,041.77/433,279.89 = 178,065/x
  3. Step 3: Cross multiply
    314,041.77x = 433,279.89 × 178,065
  4. Step 4: Simplify right side
    314,041.77x = 77,151,983,612.85
  5. Step 5: Solve for x
    x = 77,151,983,612.85/314,041.77
  6. Step 6: Final answer
    x = 245,674.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.