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Finding the Fourth Proportional to 313,980.42, 470,935.60 and 86,293.48

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Solution

The fourth proportional to 313,980.42, 470,935.60 and 86,293.48 is: 129,430.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,980.42 : 470,935.60 = 86,293.48 : x
  2. Step 2: Convert to fraction form
    313,980.42/470,935.60 = 86,293.48/x
  3. Step 3: Cross multiply
    313,980.42x = 470,935.60 × 86,293.48
  4. Step 4: Simplify right side
    313,980.42x = 40,638,671,779.89
  5. Step 5: Solve for x
    x = 40,638,671,779.89/313,980.42
  6. Step 6: Final answer
    x = 129,430.59

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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.