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Finding the Fourth Proportional to 390,338, 538,666.80 and 211,490

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Solution

The fourth proportional to 390,338, 538,666.80 and 211,490 is: 291,856.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,338 : 538,666.80 = 211,490 : x
  2. Step 2: Convert to fraction form
    390,338/538,666.80 = 211,490/x
  3. Step 3: Cross multiply
    390,338x = 538,666.80 × 211,490
  4. Step 4: Simplify right side
    390,338x = 113,922,641,532.00
  5. Step 5: Solve for x
    x = 113,922,641,532.00/390,338
  6. Step 6: Final answer
    x = 291,856.40

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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.