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Finding the Fourth Proportional to 517,256.80, 713,707.40 and 302,355.29

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Solution

The fourth proportional to 517,256.80, 713,707.40 and 302,355.29 is: 417,187.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,256.80 : 713,707.40 = 302,355.29 : x
  2. Step 2: Convert to fraction form
    517,256.80/713,707.40 = 302,355.29/x
  3. Step 3: Cross multiply
    517,256.80x = 713,707.40 × 302,355.29
  4. Step 4: Simplify right side
    517,256.80x = 215,793,210,442.30
  5. Step 5: Solve for x
    x = 215,793,210,442.30/517,256.80
  6. Step 6: Final answer
    x = 417,187.77

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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.