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Finding the Fourth Proportional to 313,904.04, 470,851.98 and 77,248.74

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Solution

The fourth proportional to 313,904.04, 470,851.98 and 77,248.74 is: 115,872.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,904.04 : 470,851.98 = 77,248.74 : x
  2. Step 2: Convert to fraction form
    313,904.04/470,851.98 = 77,248.74/x
  3. Step 3: Cross multiply
    313,904.04x = 470,851.98 × 77,248.74
  4. Step 4: Simplify right side
    313,904.04x = 36,372,722,181.51
  5. Step 5: Solve for x
    x = 36,372,722,181.51/313,904.04
  6. Step 6: Final answer
    x = 115,872.11

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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.