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Finding the Fourth Proportional to 285,772.24, 428,681.64 and 143,544.32

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Solution

The fourth proportional to 285,772.24, 428,681.64 and 143,544.32 is: 215,328.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,772.24 : 428,681.64 = 143,544.32 : x
  2. Step 2: Convert to fraction form
    285,772.24/428,681.64 = 143,544.32/x
  3. Step 3: Cross multiply
    285,772.24x = 428,681.64 × 143,544.32
  4. Step 4: Simplify right side
    285,772.24x = 61,534,814,510.28
  5. Step 5: Solve for x
    x = 61,534,814,510.28/285,772.24
  6. Step 6: Final answer
    x = 215,328.17

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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.