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Finding the Fourth Proportional to 302,719.32, 414,727.50 and 291,368.76

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Solution

The fourth proportional to 302,719.32, 414,727.50 and 291,368.76 is: 399,177.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,719.32 : 414,727.50 = 291,368.76 : x
  2. Step 2: Convert to fraction form
    302,719.32/414,727.50 = 291,368.76/x
  3. Step 3: Cross multiply
    302,719.32x = 414,727.50 × 291,368.76
  4. Step 4: Simplify right side
    302,719.32x = 120,838,637,412.90
  5. Step 5: Solve for x
    x = 120,838,637,412.90/302,719.32
  6. Step 6: Final answer
    x = 399,177.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.