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Finding the Fourth Proportional to 390,087, 538,320.06 and 211,239

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Solution

The fourth proportional to 390,087, 538,320.06 and 211,239 is: 291,509.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,087 : 538,320.06 = 211,239 : x
  2. Step 2: Convert to fraction form
    390,087/538,320.06 = 211,239/x
  3. Step 3: Cross multiply
    390,087x = 538,320.06 × 211,239
  4. Step 4: Simplify right side
    390,087x = 113,714,191,154.34
  5. Step 5: Solve for x
    x = 113,714,191,154.34/390,087
  6. Step 6: Final answer
    x = 291,509.82

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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.