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Finding the Fourth Proportional to 328,223.64, 491,678.76 and 260,869.32

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Solution

The fourth proportional to 328,223.64, 491,678.76 and 260,869.32 is: 390,782.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,223.64 : 491,678.76 = 260,869.32 : x
  2. Step 2: Convert to fraction form
    328,223.64/491,678.76 = 260,869.32/x
  3. Step 3: Cross multiply
    328,223.64x = 491,678.76 × 260,869.32
  4. Step 4: Simplify right side
    328,223.64x = 128,263,903,779.64
  5. Step 5: Solve for x
    x = 128,263,903,779.64/328,223.64
  6. Step 6: Final answer
    x = 390,782.04

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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.