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Finding the Fourth Proportional to 390,784.96, 539,384.63 and 221,117.50

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Solution

The fourth proportional to 390,784.96, 539,384.63 and 221,117.50 is: 305,199.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,784.96 : 539,384.63 = 221,117.50 : x
  2. Step 2: Convert to fraction form
    390,784.96/539,384.63 = 221,117.50/x
  3. Step 3: Cross multiply
    390,784.96x = 539,384.63 × 221,117.50
  4. Step 4: Simplify right side
    390,784.96x = 119,267,380,924.03
  5. Step 5: Solve for x
    x = 119,267,380,924.03/390,784.96
  6. Step 6: Final answer
    x = 305,199.52

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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.