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Finding the Fourth Proportional to 314,430.80, 471,703.62 and 145,927.91

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Solution

The fourth proportional to 314,430.80, 471,703.62 and 145,927.91 is: 218,918.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,430.80 : 471,703.62 = 145,927.91 : x
  2. Step 2: Convert to fraction form
    314,430.80/471,703.62 = 145,927.91/x
  3. Step 3: Cross multiply
    314,430.80x = 471,703.62 × 145,927.91
  4. Step 4: Simplify right side
    314,430.80x = 68,834,721,047.52
  5. Step 5: Solve for x
    x = 68,834,721,047.52/314,430.80
  6. Step 6: Final answer
    x = 218,918.51

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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.