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Finding the Fourth Proportional to 306,300.71, 459,151.10 and 171,430.64

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Solution

The fourth proportional to 306,300.71, 459,151.10 and 171,430.64 is: 256,978.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,300.71 : 459,151.10 = 171,430.64 : x
  2. Step 2: Convert to fraction form
    306,300.71/459,151.10 = 171,430.64/x
  3. Step 3: Cross multiply
    306,300.71x = 459,151.10 × 171,430.64
  4. Step 4: Simplify right side
    306,300.71x = 78,712,568,506.16
  5. Step 5: Solve for x
    x = 78,712,568,506.16/306,300.71
  6. Step 6: Final answer
    x = 256,978.08

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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.