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Finding the Fourth Proportional to 661,533.98, 912,956.74 and 389,783

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Solution

The fourth proportional to 661,533.98, 912,956.74 and 389,783 is: 537,924.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,533.98 : 912,956.74 = 389,783 : x
  2. Step 2: Convert to fraction form
    661,533.98/912,956.74 = 389,783/x
  3. Step 3: Cross multiply
    661,533.98x = 912,956.74 × 389,783
  4. Step 4: Simplify right side
    661,533.98x = 355,855,016,987.42
  5. Step 5: Solve for x
    x = 355,855,016,987.42/661,533.98
  6. Step 6: Final answer
    x = 537,924.02

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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.