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Finding the Fourth Proportional to 313,820.58, 470,726.78 and 77,165.31

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Solution

The fourth proportional to 313,820.58, 470,726.78 and 77,165.31 is: 115,746.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,820.58 : 470,726.78 = 77,165.31 : x
  2. Step 2: Convert to fraction form
    313,820.58/470,726.78 = 77,165.31/x
  3. Step 3: Cross multiply
    313,820.58x = 470,726.78 × 77,165.31
  4. Step 4: Simplify right side
    313,820.58x = 36,323,779,283.40
  5. Step 5: Solve for x
    x = 36,323,779,283.40/313,820.58
  6. Step 6: Final answer
    x = 115,746.96

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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.