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Finding the Fourth Proportional to 390,442, 538,810.32 and 211,594

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Solution

The fourth proportional to 390,442, 538,810.32 and 211,594 is: 291,999.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,442 : 538,810.32 = 211,594 : x
  2. Step 2: Convert to fraction form
    390,442/538,810.32 = 211,594/x
  3. Step 3: Cross multiply
    390,442x = 538,810.32 × 211,594
  4. Step 4: Simplify right side
    390,442x = 114,009,030,850.08
  5. Step 5: Solve for x
    x = 114,009,030,850.08/390,442
  6. Step 6: Final answer
    x = 291,999.92

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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.