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Finding the Fourth Proportional to 390,319.42, 585,675.87 and 153,831.82

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Solution

The fourth proportional to 390,319.42, 585,675.87 and 153,831.82 is: 230,825.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,319.42 : 585,675.87 = 153,831.82 : x
  2. Step 2: Convert to fraction form
    390,319.42/585,675.87 = 153,831.82/x
  3. Step 3: Cross multiply
    390,319.42x = 585,675.87 × 153,831.82
  4. Step 4: Simplify right side
    390,319.42x = 90,095,585,012.18
  5. Step 5: Solve for x
    x = 90,095,585,012.18/390,319.42
  6. Step 6: Final answer
    x = 230,825.27

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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.