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Finding the Fourth Proportional to 517,056.16, 713,298 and 302,205.28

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Solution

The fourth proportional to 517,056.16, 713,298 and 302,205.28 is: 416,903.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,056.16 : 713,298 = 302,205.28 : x
  2. Step 2: Convert to fraction form
    517,056.16/713,298 = 302,205.28/x
  3. Step 3: Cross multiply
    517,056.16x = 713,298 × 302,205.28
  4. Step 4: Simplify right side
    517,056.16x = 215,562,421,813.44
  5. Step 5: Solve for x
    x = 215,562,421,813.44/517,056.16
  6. Step 6: Final answer
    x = 416,903.30

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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.