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Finding the Fourth Proportional to 553,754.66, 830,048.77 and 287,232.26

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Solution

The fourth proportional to 553,754.66, 830,048.77 and 287,232.26 is: 430,545.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,754.66 : 830,048.77 = 287,232.26 : x
  2. Step 2: Convert to fraction form
    553,754.66/830,048.77 = 287,232.26/x
  3. Step 3: Cross multiply
    553,754.66x = 830,048.77 × 287,232.26
  4. Step 4: Simplify right side
    553,754.66x = 238,416,784,117.32
  5. Step 5: Solve for x
    x = 238,416,784,117.32/553,754.66
  6. Step 6: Final answer
    x = 430,545.87

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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.