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Finding the Fourth Proportional to 286,364.80, 429,547.20 and 146,105.20

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Solution

The fourth proportional to 286,364.80, 429,547.20 and 146,105.20 is: 219,157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,364.80 : 429,547.20 = 146,105.20 : x
  2. Step 2: Convert to fraction form
    286,364.80/429,547.20 = 146,105.20/x
  3. Step 3: Cross multiply
    286,364.80x = 429,547.20 × 146,105.20
  4. Step 4: Simplify right side
    286,364.80x = 62,759,079,565.44
  5. Step 5: Solve for x
    x = 62,759,079,565.44/286,364.80
  6. Step 6: Final answer
    x = 219,157.80

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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.