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Finding the Fourth Proportional to 442,853.51, 611,432.01 and 340,698.74

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Solution

The fourth proportional to 442,853.51, 611,432.01 and 340,698.74 is: 470,390.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,853.51 : 611,432.01 = 340,698.74 : x
  2. Step 2: Convert to fraction form
    442,853.51/611,432.01 = 340,698.74/x
  3. Step 3: Cross multiply
    442,853.51x = 611,432.01 × 340,698.74
  4. Step 4: Simplify right side
    442,853.51x = 208,314,112,345.51
  5. Step 5: Solve for x
    x = 208,314,112,345.51/442,853.51
  6. Step 6: Final answer
    x = 470,390.57

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1.5x scale

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.