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Finding the Fourth Proportional to 631,541, 947,778.06 and 299,117

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Solution

The fourth proportional to 631,541, 947,778.06 and 299,117 is: 448,896.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,541 : 947,778.06 = 299,117 : x
  2. Step 2: Convert to fraction form
    631,541/947,778.06 = 299,117/x
  3. Step 3: Cross multiply
    631,541x = 947,778.06 × 299,117
  4. Step 4: Simplify right side
    631,541x = 283,496,529,973.02
  5. Step 5: Solve for x
    x = 283,496,529,973.02/631,541
  6. Step 6: Final answer
    x = 448,896.48

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1.5x scale

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.