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Finding the Fourth Proportional to 477,721.80, 716,582.70 and 193,411.80

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Solution

The fourth proportional to 477,721.80, 716,582.70 and 193,411.80 is: 290,117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,721.80 : 716,582.70 = 193,411.80 : x
  2. Step 2: Convert to fraction form
    477,721.80/716,582.70 = 193,411.80/x
  3. Step 3: Cross multiply
    477,721.80x = 716,582.70 × 193,411.80
  4. Step 4: Simplify right side
    477,721.80x = 138,595,549,855.86
  5. Step 5: Solve for x
    x = 138,595,549,855.86/477,721.80
  6. Step 6: Final answer
    x = 290,117.70

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.