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Finding the Fourth Proportional to 257,853.24, 386,779.32 and 145,482.48

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Solution

The fourth proportional to 257,853.24, 386,779.32 and 145,482.48 is: 218,223.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,853.24 : 386,779.32 = 145,482.48 : x
  2. Step 2: Convert to fraction form
    257,853.24/386,779.32 = 145,482.48/x
  3. Step 3: Cross multiply
    257,853.24x = 386,779.32 × 145,482.48
  4. Step 4: Simplify right side
    257,853.24x = 56,269,614,686.31
  5. Step 5: Solve for x
    x = 56,269,614,686.31/257,853.24
  6. Step 6: Final answer
    x = 218,223.42

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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.