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Finding the Fourth Proportional to 390,994.16, 539,570.04 and 212,146.16

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Solution

The fourth proportional to 390,994.16, 539,570.04 and 212,146.16 is: 292,760.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,994.16 : 539,570.04 = 212,146.16 : x
  2. Step 2: Convert to fraction form
    390,994.16/539,570.04 = 212,146.16/x
  3. Step 3: Cross multiply
    390,994.16x = 539,570.04 × 212,146.16
  4. Step 4: Simplify right side
    390,994.16x = 114,467,712,037.05
  5. Step 5: Solve for x
    x = 114,467,712,037.05/390,994.16
  6. Step 6: Final answer
    x = 292,760.67

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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.