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Finding the Fourth Proportional to 287,048.80, 430,400.40 and 147,080.80

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Solution

The fourth proportional to 287,048.80, 430,400.40 and 147,080.80 is: 220,532.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,048.80 : 430,400.40 = 147,080.80 : x
  2. Step 2: Convert to fraction form
    287,048.80/430,400.40 = 147,080.80/x
  3. Step 3: Cross multiply
    287,048.80x = 430,400.40 × 147,080.80
  4. Step 4: Simplify right side
    287,048.80x = 63,303,635,152.32
  5. Step 5: Solve for x
    x = 63,303,635,152.32/287,048.80
  6. Step 6: Final answer
    x = 220,532.66

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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.