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Finding the Fourth Proportional to 390,101, 538,186.98 and 226,730.36

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Solution

The fourth proportional to 390,101, 538,186.98 and 226,730.36 is: 312,799.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,101 : 538,186.98 = 226,730.36 : x
  2. Step 2: Convert to fraction form
    390,101/538,186.98 = 226,730.36/x
  3. Step 3: Cross multiply
    390,101x = 538,186.98 × 226,730.36
  4. Step 4: Simplify right side
    390,101x = 122,023,327,722.71
  5. Step 5: Solve for x
    x = 122,023,327,722.71/390,101
  6. Step 6: Final answer
    x = 312,799.32

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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.