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Finding the Fourth Proportional to 405,304.76, 559,030.48 and 284,473

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Solution

The fourth proportional to 405,304.76, 559,030.48 and 284,473 is: 392,369.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,304.76 : 559,030.48 = 284,473 : x
  2. Step 2: Convert to fraction form
    405,304.76/559,030.48 = 284,473/x
  3. Step 3: Cross multiply
    405,304.76x = 559,030.48 × 284,473
  4. Step 4: Simplify right side
    405,304.76x = 159,029,077,737.04
  5. Step 5: Solve for x
    x = 159,029,077,737.04/405,304.76
  6. Step 6: Final answer
    x = 392,369.13

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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.