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Finding the Fourth Proportional to 312,292.17, 430,963.43 and 169,051.77

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Solution

The fourth proportional to 312,292.17, 430,963.43 and 169,051.77 is: 233,291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,292.17 : 430,963.43 = 169,051.77 : x
  2. Step 2: Convert to fraction form
    312,292.17/430,963.43 = 169,051.77/x
  3. Step 3: Cross multiply
    312,292.17x = 430,963.43 × 169,051.77
  4. Step 4: Simplify right side
    312,292.17x = 72,855,129,801.51
  5. Step 5: Solve for x
    x = 72,855,129,801.51/312,292.17
  6. Step 6: Final answer
    x = 233,291.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.