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Finding the Fourth Proportional to 517,220.64, 713,720.16 and 302,335.74

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Solution

The fourth proportional to 517,220.64, 713,720.16 and 302,335.74 is: 417,197.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,220.64 : 713,720.16 = 302,335.74 : x
  2. Step 2: Convert to fraction form
    517,220.64/713,720.16 = 302,335.74/x
  3. Step 3: Cross multiply
    517,220.64x = 713,720.16 × 302,335.74
  4. Step 4: Simplify right side
    517,220.64x = 215,783,112,726.52
  5. Step 5: Solve for x
    x = 215,783,112,726.52/517,220.64
  6. Step 6: Final answer
    x = 417,197.41

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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.