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Finding the Fourth Proportional to 362,543.76, 500,445.12 and 311,350.92

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Solution

The fourth proportional to 362,543.76, 500,445.12 and 311,350.92 is: 429,779.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,543.76 : 500,445.12 = 311,350.92 : x
  2. Step 2: Convert to fraction form
    362,543.76/500,445.12 = 311,350.92/x
  3. Step 3: Cross multiply
    362,543.76x = 500,445.12 × 311,350.92
  4. Step 4: Simplify right side
    362,543.76x = 155,814,048,521.51
  5. Step 5: Solve for x
    x = 155,814,048,521.51/362,543.76
  6. Step 6: Final answer
    x = 429,779.98

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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.