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Finding the Fourth Proportional to 465,467.61, 642,125.57 and 398,207.10

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Solution

The fourth proportional to 465,467.61, 642,125.57 and 398,207.10 is: 549,337.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,467.61 : 642,125.57 = 398,207.10 : x
  2. Step 2: Convert to fraction form
    465,467.61/642,125.57 = 398,207.10/x
  3. Step 3: Cross multiply
    465,467.61x = 642,125.57 × 398,207.10
  4. Step 4: Simplify right side
    465,467.61x = 255,698,959,074.51
  5. Step 5: Solve for x
    x = 255,698,959,074.51/465,467.61
  6. Step 6: Final answer
    x = 549,337.81

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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.