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Finding the Fourth Proportional to 390,368, 538,708.48 and 211,520

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Solution

The fourth proportional to 390,368, 538,708.48 and 211,520 is: 291,897.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,368 : 538,708.48 = 211,520 : x
  2. Step 2: Convert to fraction form
    390,368/538,708.48 = 211,520/x
  3. Step 3: Cross multiply
    390,368x = 538,708.48 × 211,520
  4. Step 4: Simplify right side
    390,368x = 113,947,617,689.60
  5. Step 5: Solve for x
    x = 113,947,617,689.60/390,368
  6. Step 6: Final answer
    x = 291,897.95

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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.