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Finding the Fourth Proportional to 302,875.60, 417,813.78 and 207,473.80

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Solution

The fourth proportional to 302,875.60, 417,813.78 and 207,473.80 is: 286,207.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,875.60 : 417,813.78 = 207,473.80 : x
  2. Step 2: Convert to fraction form
    302,875.60/417,813.78 = 207,473.80/x
  3. Step 3: Cross multiply
    302,875.60x = 417,813.78 × 207,473.80
  4. Step 4: Simplify right side
    302,875.60x = 86,685,412,628.96
  5. Step 5: Solve for x
    x = 86,685,412,628.96/302,875.60
  6. Step 6: Final answer
    x = 286,207.98

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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.