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Finding the Fourth Proportional to 513,971.72, 709,602.64 and 330,284.78

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Solution

The fourth proportional to 513,971.72, 709,602.64 and 330,284.78 is: 455,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,971.72 : 709,602.64 = 330,284.78 : x
  2. Step 2: Convert to fraction form
    513,971.72/709,602.64 = 330,284.78/x
  3. Step 3: Cross multiply
    513,971.72x = 709,602.64 × 330,284.78
  4. Step 4: Simplify right side
    513,971.72x = 234,370,951,984.96
  5. Step 5: Solve for x
    x = 234,370,951,984.96/513,971.72
  6. Step 6: Final answer
    x = 455,999.70

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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.