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Finding the Fourth Proportional to 379,908.84, 524,302.67 and 216,569.24

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Solution

The fourth proportional to 379,908.84, 524,302.67 and 216,569.24 is: 298,881.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,908.84 : 524,302.67 = 216,569.24 : x
  2. Step 2: Convert to fraction form
    379,908.84/524,302.67 = 216,569.24/x
  3. Step 3: Cross multiply
    379,908.84x = 524,302.67 × 216,569.24
  4. Step 4: Simplify right side
    379,908.84x = 113,547,830,577.71
  5. Step 5: Solve for x
    x = 113,547,830,577.71/379,908.84
  6. Step 6: Final answer
    x = 298,881.78

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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.