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Finding the Fourth Proportional to 390,046.16, 584,688.54 and 190,358.48

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Solution

The fourth proportional to 390,046.16, 584,688.54 and 190,358.48 is: 285,351.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,046.16 : 584,688.54 = 190,358.48 : x
  2. Step 2: Convert to fraction form
    390,046.16/584,688.54 = 190,358.48/x
  3. Step 3: Cross multiply
    390,046.16x = 584,688.54 × 190,358.48
  4. Step 4: Simplify right side
    390,046.16x = 111,300,421,747.82
  5. Step 5: Solve for x
    x = 111,300,421,747.82/390,046.16
  6. Step 6: Final answer
    x = 285,351.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.