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Finding the Fourth Proportional to 313,698.32, 470,549.05 and 77,041.02

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Solution

The fourth proportional to 313,698.32, 470,549.05 and 77,041.02 is: 115,561.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,698.32 : 470,549.05 = 77,041.02 : x
  2. Step 2: Convert to fraction form
    313,698.32/470,549.05 = 77,041.02/x
  3. Step 3: Cross multiply
    313,698.32x = 470,549.05 × 77,041.02
  4. Step 4: Simplify right side
    313,698.32x = 36,251,580,343.99
  5. Step 5: Solve for x
    x = 36,251,580,343.99/313,698.32
  6. Step 6: Final answer
    x = 115,561.92

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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.