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Finding the Fourth Proportional to 660,142.82, 911,011.57 and 402,031.86

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Solution

The fourth proportional to 660,142.82, 911,011.57 and 402,031.86 is: 554,812.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,142.82 : 911,011.57 = 402,031.86 : x
  2. Step 2: Convert to fraction form
    660,142.82/911,011.57 = 402,031.86/x
  3. Step 3: Cross multiply
    660,142.82x = 911,011.57 × 402,031.86
  4. Step 4: Simplify right side
    660,142.82x = 366,255,674,963.54
  5. Step 5: Solve for x
    x = 366,255,674,963.54/660,142.82
  6. Step 6: Final answer
    x = 554,812.79

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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.