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Finding the Fourth Proportional to 500,252.60, 690,417.43 and 306,776

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Solution

The fourth proportional to 500,252.60, 690,417.43 and 306,776 is: 423,393.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,252.60 : 690,417.43 = 306,776 : x
  2. Step 2: Convert to fraction form
    500,252.60/690,417.43 = 306,776/x
  3. Step 3: Cross multiply
    500,252.60x = 690,417.43 × 306,776
  4. Step 4: Simplify right side
    500,252.60x = 211,803,497,505.68
  5. Step 5: Solve for x
    x = 211,803,497,505.68/500,252.60
  6. Step 6: Final answer
    x = 423,393.10

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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.