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Finding the Fourth Proportional to 398,036.86, 549,290.90 and 216,748.74

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Solution

The fourth proportional to 398,036.86, 549,290.90 and 216,748.74 is: 299,113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,036.86 : 549,290.90 = 216,748.74 : x
  2. Step 2: Convert to fraction form
    398,036.86/549,290.90 = 216,748.74/x
  3. Step 3: Cross multiply
    398,036.86x = 549,290.90 × 216,748.74
  4. Step 4: Simplify right side
    398,036.86x = 119,058,110,468.47
  5. Step 5: Solve for x
    x = 119,058,110,468.47/398,036.86
  6. Step 6: Final answer
    x = 299,113.28

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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.