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Finding the Fourth Proportional to 369,358.98, 509,717.13 and 216,424.38

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Solution

The fourth proportional to 369,358.98, 509,717.13 and 216,424.38 is: 298,666.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,358.98 : 509,717.13 = 216,424.38 : x
  2. Step 2: Convert to fraction form
    369,358.98/509,717.13 = 216,424.38/x
  3. Step 3: Cross multiply
    369,358.98x = 509,717.13 × 216,424.38
  4. Step 4: Simplify right side
    369,358.98x = 110,315,213,835.63
  5. Step 5: Solve for x
    x = 110,315,213,835.63/369,358.98
  6. Step 6: Final answer
    x = 298,666.66

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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.