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Finding the Fourth Proportional to 551,509.46, 761,053.82 and 309,802.22

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Solution

The fourth proportional to 551,509.46, 761,053.82 and 309,802.22 is: 427,510.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,509.46 : 761,053.82 = 309,802.22 : x
  2. Step 2: Convert to fraction form
    551,509.46/761,053.82 = 309,802.22/x
  3. Step 3: Cross multiply
    551,509.46x = 761,053.82 × 309,802.22
  4. Step 4: Simplify right side
    551,509.46x = 235,776,162,975.48
  5. Step 5: Solve for x
    x = 235,776,162,975.48/551,509.46
  6. Step 6: Final answer
    x = 427,510.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.