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Finding the Fourth Proportional to 314,715.93, 434,302.51 and 171,477.15

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Solution

The fourth proportional to 314,715.93, 434,302.51 and 171,477.15 is: 236,635.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,715.93 : 434,302.51 = 171,477.15 : x
  2. Step 2: Convert to fraction form
    314,715.93/434,302.51 = 171,477.15/x
  3. Step 3: Cross multiply
    314,715.93x = 434,302.51 × 171,477.15
  4. Step 4: Simplify right side
    314,715.93x = 74,472,956,652.65
  5. Step 5: Solve for x
    x = 74,472,956,652.65/314,715.93
  6. Step 6: Final answer
    x = 236,635.48

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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.